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Finding the Third Proportional to 24,253.88 and 36,231.19

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Solution

The third proportional to 24,253.88 and 36,231.19 is: 54,123.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,253.88 : 36,231.19 = 36,231.19 : x
  2. Step 2: Convert to fraction form
    24,253.88/36,231.19 = 36,231.19/x
  3. Step 3: Cross multiply
    24,253.88x = 36,231.19 × 36,231.19
  4. Step 4: Simplify right side
    24,253.88x = 1,312,698,947.66
  5. Step 5: Solve for x
    x = 1,312,698,947.66/24,253.88
  6. Step 6: Final answer
    x = 54,123.27

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Why These Related Problems?

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