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Finding the Third Proportional to 24,508 and 34,513

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Solution

The third proportional to 24,508 and 34,513 is: 48,602.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,508 : 34,513 = 34,513 : x
  2. Step 2: Convert to fraction form
    24,508/34,513 = 34,513/x
  3. Step 3: Cross multiply
    24,508x = 34,513 × 34,513
  4. Step 4: Simplify right side
    24,508x = 1,191,147,169
  5. Step 5: Solve for x
    x = 1,191,147,169/24,508
  6. Step 6: Final answer
    x = 48,602.38

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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.