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Finding the Third Proportional to 15,684 and 33,472

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Solution

The third proportional to 15,684 and 33,472 is: 71,434.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,684 : 33,472 = 33,472 : x
  2. Step 2: Convert to fraction form
    15,684/33,472 = 33,472/x
  3. Step 3: Cross multiply
    15,684x = 33,472 × 33,472
  4. Step 4: Simplify right side
    15,684x = 1,120,374,784
  5. Step 5: Solve for x
    x = 1,120,374,784/15,684
  6. Step 6: Final answer
    x = 71,434.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.