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Finding the Third Proportional to 17,712 and 38,328

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Solution

The third proportional to 17,712 and 38,328 is: 82,940.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,712 : 38,328 = 38,328 : x
  2. Step 2: Convert to fraction form
    17,712/38,328 = 38,328/x
  3. Step 3: Cross multiply
    17,712x = 38,328 × 38,328
  4. Step 4: Simplify right side
    17,712x = 1,469,035,584
  5. Step 5: Solve for x
    x = 1,469,035,584/17,712
  6. Step 6: Final answer
    x = 82,940.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.