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Finding the Third Proportional to 24,922.69 and 54,280.13

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Solution

The third proportional to 24,922.69 and 54,280.13 is: 118,218.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,922.69 : 54,280.13 = 54,280.13 : x
  2. Step 2: Convert to fraction form
    24,922.69/54,280.13 = 54,280.13/x
  3. Step 3: Cross multiply
    24,922.69x = 54,280.13 × 54,280.13
  4. Step 4: Simplify right side
    24,922.69x = 2,946,331,970.02
  5. Step 5: Solve for x
    x = 2,946,331,970.02/24,922.69
  6. Step 6: Final answer
    x = 118,218.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.