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Finding the Third Proportional to 42,383.25 and 63,666

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Solution

The third proportional to 42,383.25 and 63,666 is: 95,635.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,383.25 : 63,666 = 63,666 : x
  2. Step 2: Convert to fraction form
    42,383.25/63,666 = 63,666/x
  3. Step 3: Cross multiply
    42,383.25x = 63,666 × 63,666
  4. Step 4: Simplify right side
    42,383.25x = 4,053,359,556
  5. Step 5: Solve for x
    x = 4,053,359,556/42,383.25
  6. Step 6: Final answer
    x = 95,635.88

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