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Finding the Third Proportional to 10,532 and 13,908

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Solution

The third proportional to 10,532 and 13,908 is: 18,366.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,532 : 13,908 = 13,908 : x
  2. Step 2: Convert to fraction form
    10,532/13,908 = 13,908/x
  3. Step 3: Cross multiply
    10,532x = 13,908 × 13,908
  4. Step 4: Simplify right side
    10,532x = 193,432,464
  5. Step 5: Solve for x
    x = 193,432,464/10,532
  6. Step 6: Final answer
    x = 18,366.17

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.