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Finding the Third Proportional to 16,754 and 29,510

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Solution

The third proportional to 16,754 and 29,510 is: 51,978.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,754 : 29,510 = 29,510 : x
  2. Step 2: Convert to fraction form
    16,754/29,510 = 29,510/x
  3. Step 3: Cross multiply
    16,754x = 29,510 × 29,510
  4. Step 4: Simplify right side
    16,754x = 870,840,100
  5. Step 5: Solve for x
    x = 870,840,100/16,754
  6. Step 6: Final answer
    x = 51,978.04

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.