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Finding the Third Proportional to 30,732.25 and 62,592

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Solution

The third proportional to 30,732.25 and 62,592 is: 127,480.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,732.25 : 62,592 = 62,592 : x
  2. Step 2: Convert to fraction form
    30,732.25/62,592 = 62,592/x
  3. Step 3: Cross multiply
    30,732.25x = 62,592 × 62,592
  4. Step 4: Simplify right side
    30,732.25x = 3,917,758,464
  5. Step 5: Solve for x
    x = 3,917,758,464/30,732.25
  6. Step 6: Final answer
    x = 127,480.37

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.