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Finding the Third Proportional to 24,859 and 36,114

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Solution

The third proportional to 24,859 and 36,114 is: 52,464.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,859 : 36,114 = 36,114 : x
  2. Step 2: Convert to fraction form
    24,859/36,114 = 36,114/x
  3. Step 3: Cross multiply
    24,859x = 36,114 × 36,114
  4. Step 4: Simplify right side
    24,859x = 1,304,220,996
  5. Step 5: Solve for x
    x = 1,304,220,996/24,859
  6. Step 6: Final answer
    x = 52,464.74

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.