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Finding the Third Proportional to 35,624.25 and 55,158.75

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Solution

The third proportional to 35,624.25 and 55,158.75 is: 85,404.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,624.25 : 55,158.75 = 55,158.75 : x
  2. Step 2: Convert to fraction form
    35,624.25/55,158.75 = 55,158.75/x
  3. Step 3: Cross multiply
    35,624.25x = 55,158.75 × 55,158.75
  4. Step 4: Simplify right side
    35,624.25x = 3,042,487,701.56
  5. Step 5: Solve for x
    x = 3,042,487,701.56/35,624.25
  6. Step 6: Final answer
    x = 85,404.96

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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.