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Finding the Third Proportional to 57,270.38 and 82,488.38

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Solution

The third proportional to 57,270.38 and 82,488.38 is: 118,810.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,270.38 : 82,488.38 = 82,488.38 : x
  2. Step 2: Convert to fraction form
    57,270.38/82,488.38 = 82,488.38/x
  3. Step 3: Cross multiply
    57,270.38x = 82,488.38 × 82,488.38
  4. Step 4: Simplify right side
    57,270.38x = 6,804,332,010.14
  5. Step 5: Solve for x
    x = 6,804,332,010.14/57,270.38
  6. Step 6: Final answer
    x = 118,810.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.