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Finding the Third Proportional to 41,593.50 and 63,996

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Solution

The third proportional to 41,593.50 and 63,996 is: 98,464.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,593.50 : 63,996 = 63,996 : x
  2. Step 2: Convert to fraction form
    41,593.50/63,996 = 63,996/x
  3. Step 3: Cross multiply
    41,593.50x = 63,996 × 63,996
  4. Step 4: Simplify right side
    41,593.50x = 4,095,488,016
  5. Step 5: Solve for x
    x = 4,095,488,016/41,593.50
  6. Step 6: Final answer
    x = 98,464.62

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.