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Finding the Third Proportional to 24,100 and 36,494

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Solution

The third proportional to 24,100 and 36,494 is: 55,261.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,100 : 36,494 = 36,494 : x
  2. Step 2: Convert to fraction form
    24,100/36,494 = 36,494/x
  3. Step 3: Cross multiply
    24,100x = 36,494 × 36,494
  4. Step 4: Simplify right side
    24,100x = 1,331,812,036
  5. Step 5: Solve for x
    x = 1,331,812,036/24,100
  6. Step 6: Final answer
    x = 55,261.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.