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Finding the Third Proportional to 24,511 and 34,516

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Solution

The third proportional to 24,511 and 34,516 is: 48,604.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,511 : 34,516 = 34,516 : x
  2. Step 2: Convert to fraction form
    24,511/34,516 = 34,516/x
  3. Step 3: Cross multiply
    24,511x = 34,516 × 34,516
  4. Step 4: Simplify right side
    24,511x = 1,191,354,256
  5. Step 5: Solve for x
    x = 1,191,354,256/24,511
  6. Step 6: Final answer
    x = 48,604.88

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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.