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Finding the Third Proportional to 16,432 and 25,400

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Solution

The third proportional to 16,432 and 25,400 is: 39,262.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,432 : 25,400 = 25,400 : x
  2. Step 2: Convert to fraction form
    16,432/25,400 = 25,400/x
  3. Step 3: Cross multiply
    16,432x = 25,400 × 25,400
  4. Step 4: Simplify right side
    16,432x = 645,160,000
  5. Step 5: Solve for x
    x = 645,160,000/16,432
  6. Step 6: Final answer
    x = 39,262.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.