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Finding the Third Proportional to 15,336 and 31,317

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Solution

The third proportional to 15,336 and 31,317 is: 63,951.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,336 : 31,317 = 31,317 : x
  2. Step 2: Convert to fraction form
    15,336/31,317 = 31,317/x
  3. Step 3: Cross multiply
    15,336x = 31,317 × 31,317
  4. Step 4: Simplify right side
    15,336x = 980,754,489
  5. Step 5: Solve for x
    x = 980,754,489/15,336
  6. Step 6: Final answer
    x = 63,951.13

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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.