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Finding the Third Proportional to 24,515 and 34,522

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Solution

The third proportional to 24,515 and 34,522 is: 48,613.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,515 : 34,522 = 34,522 : x
  2. Step 2: Convert to fraction form
    24,515/34,522 = 34,522/x
  3. Step 3: Cross multiply
    24,515x = 34,522 × 34,522
  4. Step 4: Simplify right side
    24,515x = 1,191,768,484
  5. Step 5: Solve for x
    x = 1,191,768,484/24,515
  6. Step 6: Final answer
    x = 48,613.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.