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Finding the Third Proportional to 24,217.50 and 54,105

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Solution

The third proportional to 24,217.50 and 54,105 is: 120,877.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,217.50 : 54,105 = 54,105 : x
  2. Step 2: Convert to fraction form
    24,217.50/54,105 = 54,105/x
  3. Step 3: Cross multiply
    24,217.50x = 54,105 × 54,105
  4. Step 4: Simplify right side
    24,217.50x = 2,927,351,025
  5. Step 5: Solve for x
    x = 2,927,351,025/24,217.50
  6. Step 6: Final answer
    x = 120,877.51

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.