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Finding the Third Proportional to 24,516 and 34,523

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Solution

The third proportional to 24,516 and 34,523 is: 48,614.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,516 : 34,523 = 34,523 : x
  2. Step 2: Convert to fraction form
    24,516/34,523 = 34,523/x
  3. Step 3: Cross multiply
    24,516x = 34,523 × 34,523
  4. Step 4: Simplify right side
    24,516x = 1,191,837,529
  5. Step 5: Solve for x
    x = 1,191,837,529/24,516
  6. Step 6: Final answer
    x = 48,614.68

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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.