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Finding the Third Proportional to 24,918 and 41,529

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Solution

The third proportional to 24,918 and 41,529 is: 69,213.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,918 : 41,529 = 41,529 : x
  2. Step 2: Convert to fraction form
    24,918/41,529 = 41,529/x
  3. Step 3: Cross multiply
    24,918x = 41,529 × 41,529
  4. Step 4: Simplify right side
    24,918x = 1,724,657,841
  5. Step 5: Solve for x
    x = 1,724,657,841/24,918
  6. Step 6: Final answer
    x = 69,213.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.