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Finding the Third Proportional to 15,332 and 31,309

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Solution

The third proportional to 15,332 and 31,309 is: 63,935.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,332 : 31,309 = 31,309 : x
  2. Step 2: Convert to fraction form
    15,332/31,309 = 31,309/x
  3. Step 3: Cross multiply
    15,332x = 31,309 × 31,309
  4. Step 4: Simplify right side
    15,332x = 980,253,481
  5. Step 5: Solve for x
    x = 980,253,481/15,332
  6. Step 6: Final answer
    x = 63,935.13

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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.