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Finding the Third Proportional to 10,408 and 13,532

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Solution

The third proportional to 10,408 and 13,532 is: 17,593.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408 : 13,532 = 13,532 : x
  2. Step 2: Convert to fraction form
    10,408/13,532 = 13,532/x
  3. Step 3: Cross multiply
    10,408x = 13,532 × 13,532
  4. Step 4: Simplify right side
    10,408x = 183,115,024
  5. Step 5: Solve for x
    x = 183,115,024/10,408
  6. Step 6: Final answer
    x = 17,593.68

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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.