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Finding the Third Proportional to 42,382.69 and 62,053.31

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Solution

The third proportional to 42,382.69 and 62,053.31 is: 90,853.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,382.69 : 62,053.31 = 62,053.31 : x
  2. Step 2: Convert to fraction form
    42,382.69/62,053.31 = 62,053.31/x
  3. Step 3: Cross multiply
    42,382.69x = 62,053.31 × 62,053.31
  4. Step 4: Simplify right side
    42,382.69x = 3,850,613,592.22
  5. Step 5: Solve for x
    x = 3,850,613,592.22/42,382.69
  6. Step 6: Final answer
    x = 90,853.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.