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Finding the Third Proportional to 24,811 and 36,121

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Solution

The third proportional to 24,811 and 36,121 is: 52,586.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,811 : 36,121 = 36,121 : x
  2. Step 2: Convert to fraction form
    24,811/36,121 = 36,121/x
  3. Step 3: Cross multiply
    24,811x = 36,121 × 36,121
  4. Step 4: Simplify right side
    24,811x = 1,304,726,641
  5. Step 5: Solve for x
    x = 1,304,726,641/24,811
  6. Step 6: Final answer
    x = 52,586.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.