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Finding the Third Proportional to 41,494.50 and 64,356.75

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Solution

The third proportional to 41,494.50 and 64,356.75 is: 99,815.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,494.50 : 64,356.75 = 64,356.75 : x
  2. Step 2: Convert to fraction form
    41,494.50/64,356.75 = 64,356.75/x
  3. Step 3: Cross multiply
    41,494.50x = 64,356.75 × 64,356.75
  4. Step 4: Simplify right side
    41,494.50x = 4,141,791,270.56
  5. Step 5: Solve for x
    x = 4,141,791,270.56/41,494.50
  6. Step 6: Final answer
    x = 99,815.43

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.