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Finding the Third Proportional to 40,864.50 and 63,666

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Solution

The third proportional to 40,864.50 and 63,666 is: 99,190.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,864.50 : 63,666 = 63,666 : x
  2. Step 2: Convert to fraction form
    40,864.50/63,666 = 63,666/x
  3. Step 3: Cross multiply
    40,864.50x = 63,666 × 63,666
  4. Step 4: Simplify right side
    40,864.50x = 4,053,359,556
  5. Step 5: Solve for x
    x = 4,053,359,556/40,864.50
  6. Step 6: Final answer
    x = 99,190.24

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.