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Finding the Third Proportional to 16,160 and 17,792

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Solution

The third proportional to 16,160 and 17,792 is: 19,588.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,160 : 17,792 = 17,792 : x
  2. Step 2: Convert to fraction form
    16,160/17,792 = 17,792/x
  3. Step 3: Cross multiply
    16,160x = 17,792 × 17,792
  4. Step 4: Simplify right side
    16,160x = 316,555,264
  5. Step 5: Solve for x
    x = 316,555,264/16,160
  6. Step 6: Final answer
    x = 19,588.82

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.