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Finding the Third Proportional to 15,692 and 34,408

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Solution

The third proportional to 15,692 and 34,408 is: 75,446.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,692 : 34,408 = 34,408 : x
  2. Step 2: Convert to fraction form
    15,692/34,408 = 34,408/x
  3. Step 3: Cross multiply
    15,692x = 34,408 × 34,408
  4. Step 4: Simplify right side
    15,692x = 1,183,910,464
  5. Step 5: Solve for x
    x = 1,183,910,464/15,692
  6. Step 6: Final answer
    x = 75,446.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.