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Finding the Third Proportional to 16,984.69 and 25,456.78

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Solution

The third proportional to 16,984.69 and 25,456.78 is: 38,154.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,984.69 : 25,456.78 = 25,456.78 : x
  2. Step 2: Convert to fraction form
    16,984.69/25,456.78 = 25,456.78/x
  3. Step 3: Cross multiply
    16,984.69x = 25,456.78 × 25,456.78
  4. Step 4: Simplify right side
    16,984.69x = 648,047,711.61
  5. Step 5: Solve for x
    x = 648,047,711.61/16,984.69
  6. Step 6: Final answer
    x = 38,154.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.