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Finding the Third Proportional to 24,381 and 36,412

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Solution

The third proportional to 24,381 and 36,412 is: 54,379.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,381 : 36,412 = 36,412 : x
  2. Step 2: Convert to fraction form
    24,381/36,412 = 36,412/x
  3. Step 3: Cross multiply
    24,381x = 36,412 × 36,412
  4. Step 4: Simplify right side
    24,381x = 1,325,833,744
  5. Step 5: Solve for x
    x = 1,325,833,744/24,381
  6. Step 6: Final answer
    x = 54,379.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.