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Finding the Third Proportional to 40,057.25 and 62,835.50

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Solution

The third proportional to 40,057.25 and 62,835.50 is: 98,566.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,057.25 : 62,835.50 = 62,835.50 : x
  2. Step 2: Convert to fraction form
    40,057.25/62,835.50 = 62,835.50/x
  3. Step 3: Cross multiply
    40,057.25x = 62,835.50 × 62,835.50
  4. Step 4: Simplify right side
    40,057.25x = 3,948,300,060.25
  5. Step 5: Solve for x
    x = 3,948,300,060.25/40,057.25
  6. Step 6: Final answer
    x = 98,566.43

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.