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Finding the Third Proportional to 16,432 and 25,283

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Solution

The third proportional to 16,432 and 25,283 is: 38,901.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,432 : 25,283 = 25,283 : x
  2. Step 2: Convert to fraction form
    16,432/25,283 = 25,283/x
  3. Step 3: Cross multiply
    16,432x = 25,283 × 25,283
  4. Step 4: Simplify right side
    16,432x = 639,230,089
  5. Step 5: Solve for x
    x = 639,230,089/16,432
  6. Step 6: Final answer
    x = 38,901.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.