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Finding the Third Proportional to 63,409.50 and 68,944.50

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Solution

The third proportional to 63,409.50 and 68,944.50 is: 74,962.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,409.50 : 68,944.50 = 68,944.50 : x
  2. Step 2: Convert to fraction form
    63,409.50/68,944.50 = 68,944.50/x
  3. Step 3: Cross multiply
    63,409.50x = 68,944.50 × 68,944.50
  4. Step 4: Simplify right side
    63,409.50x = 4,753,344,080.25
  5. Step 5: Solve for x
    x = 4,753,344,080.25/63,409.50
  6. Step 6: Final answer
    x = 74,962.65

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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.