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Finding the Third Proportional to 20,077.50 and 27,220.50

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Solution

The third proportional to 20,077.50 and 27,220.50 is: 36,904.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,077.50 : 27,220.50 = 27,220.50 : x
  2. Step 2: Convert to fraction form
    20,077.50/27,220.50 = 27,220.50/x
  3. Step 3: Cross multiply
    20,077.50x = 27,220.50 × 27,220.50
  4. Step 4: Simplify right side
    20,077.50x = 740,955,620.25
  5. Step 5: Solve for x
    x = 740,955,620.25/20,077.50
  6. Step 6: Final answer
    x = 36,904.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.