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Finding the Third Proportional to 13,416 and 17,432

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Solution

The third proportional to 13,416 and 17,432 is: 22,650.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416 : 17,432 = 17,432 : x
  2. Step 2: Convert to fraction form
    13,416/17,432 = 17,432/x
  3. Step 3: Cross multiply
    13,416x = 17,432 × 17,432
  4. Step 4: Simplify right side
    13,416x = 303,874,624
  5. Step 5: Solve for x
    x = 303,874,624/13,416
  6. Step 6: Final answer
    x = 22,650.17

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.