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Finding the Third Proportional to 20,148.75 and 31,654.13

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Solution

The third proportional to 20,148.75 and 31,654.13 is: 49,729.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,148.75 : 31,654.13 = 31,654.13 : x
  2. Step 2: Convert to fraction form
    20,148.75/31,654.13 = 31,654.13/x
  3. Step 3: Cross multiply
    20,148.75x = 31,654.13 × 31,654.13
  4. Step 4: Simplify right side
    20,148.75x = 1,001,983,629.52
  5. Step 5: Solve for x
    x = 1,001,983,629.52/20,148.75
  6. Step 6: Final answer
    x = 49,729.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.