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Finding the Third Proportional to 24,869.53 and 54,363.66

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Solution

The third proportional to 24,869.53 and 54,363.66 is: 118,836.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,869.53 : 54,363.66 = 54,363.66 : x
  2. Step 2: Convert to fraction form
    24,869.53/54,363.66 = 54,363.66/x
  3. Step 3: Cross multiply
    24,869.53x = 54,363.66 × 54,363.66
  4. Step 4: Simplify right side
    24,869.53x = 2,955,407,120.87
  5. Step 5: Solve for x
    x = 2,955,407,120.87/24,869.53
  6. Step 6: Final answer
    x = 118,836.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.