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Finding the Third Proportional to 20,448 and 47,700

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Solution

The third proportional to 20,448 and 47,700 is: 111,272.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,448 : 47,700 = 47,700 : x
  2. Step 2: Convert to fraction form
    20,448/47,700 = 47,700/x
  3. Step 3: Cross multiply
    20,448x = 47,700 × 47,700
  4. Step 4: Simplify right side
    20,448x = 2,275,290,000
  5. Step 5: Solve for x
    x = 2,275,290,000/20,448
  6. Step 6: Final answer
    x = 111,272.01

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.