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Finding the Third Proportional to 20,212.75 and 47,210.88

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Solution

The third proportional to 20,212.75 and 47,210.88 is: 110,270.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,212.75 : 47,210.88 = 47,210.88 : x
  2. Step 2: Convert to fraction form
    20,212.75/47,210.88 = 47,210.88/x
  3. Step 3: Cross multiply
    20,212.75x = 47,210.88 × 47,210.88
  4. Step 4: Simplify right side
    20,212.75x = 2,228,866,718.27
  5. Step 5: Solve for x
    x = 2,228,866,718.27/20,212.75
  6. Step 6: Final answer
    x = 110,270.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.