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Finding the Third Proportional to 24,508 and 53,165

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Solution

The third proportional to 24,508 and 53,165 is: 115,330.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,508 : 53,165 = 53,165 : x
  2. Step 2: Convert to fraction form
    24,508/53,165 = 53,165/x
  3. Step 3: Cross multiply
    24,508x = 53,165 × 53,165
  4. Step 4: Simplify right side
    24,508x = 2,826,517,225
  5. Step 5: Solve for x
    x = 2,826,517,225/24,508
  6. Step 6: Final answer
    x = 115,330.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.