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Finding the Third Proportional to 24,715.13 and 54,194.06

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Solution

The third proportional to 24,715.13 and 54,194.06 is: 118,833.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,715.13 : 54,194.06 = 54,194.06 : x
  2. Step 2: Convert to fraction form
    24,715.13/54,194.06 = 54,194.06/x
  3. Step 3: Cross multiply
    24,715.13x = 54,194.06 × 54,194.06
  4. Step 4: Simplify right side
    24,715.13x = 2,936,996,410.25
  5. Step 5: Solve for x
    x = 2,936,996,410.25/24,715.13
  6. Step 6: Final answer
    x = 118,833.97

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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.