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Finding the Third Proportional to 54,948.38 and 82,407.38

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Solution

The third proportional to 54,948.38 and 82,407.38 is: 123,588.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,948.38 : 82,407.38 = 82,407.38 : x
  2. Step 2: Convert to fraction form
    54,948.38/82,407.38 = 82,407.38/x
  3. Step 3: Cross multiply
    54,948.38x = 82,407.38 × 82,407.38
  4. Step 4: Simplify right side
    54,948.38x = 6,790,975,454.39
  5. Step 5: Solve for x
    x = 6,790,975,454.39/54,948.38
  6. Step 6: Final answer
    x = 123,588.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.