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Finding the Third Proportional to 42,476.44 and 67,481.44

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Solution

The third proportional to 42,476.44 and 67,481.44 is: 107,206.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,476.44 : 67,481.44 = 67,481.44 : x
  2. Step 2: Convert to fraction form
    42,476.44/67,481.44 = 67,481.44/x
  3. Step 3: Cross multiply
    42,476.44x = 67,481.44 × 67,481.44
  4. Step 4: Simplify right side
    42,476.44x = 4,553,744,407.07
  5. Step 5: Solve for x
    x = 4,553,744,407.07/42,476.44
  6. Step 6: Final answer
    x = 107,206.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.