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Finding the Third Proportional to 16,432 and 25,130

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Solution

The third proportional to 16,432 and 25,130 is: 38,432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,432 : 25,130 = 25,130 : x
  2. Step 2: Convert to fraction form
    16,432/25,130 = 25,130/x
  3. Step 3: Cross multiply
    16,432x = 25,130 × 25,130
  4. Step 4: Simplify right side
    16,432x = 631,516,900
  5. Step 5: Solve for x
    x = 631,516,900/16,432
  6. Step 6: Final answer
    x = 38,432.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.