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Finding the Third Proportional to 24,329 and 52,915

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Solution

The third proportional to 24,329 and 52,915 is: 115,088.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,329 : 52,915 = 52,915 : x
  2. Step 2: Convert to fraction form
    24,329/52,915 = 52,915/x
  3. Step 3: Cross multiply
    24,329x = 52,915 × 52,915
  4. Step 4: Simplify right side
    24,329x = 2,799,997,225
  5. Step 5: Solve for x
    x = 2,799,997,225/24,329
  6. Step 6: Final answer
    x = 115,088.87

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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.