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Finding the Third Proportional to 45,589.50 and 62,437.50

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Solution

The third proportional to 45,589.50 and 62,437.50 is: 85,511.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,589.50 : 62,437.50 = 62,437.50 : x
  2. Step 2: Convert to fraction form
    45,589.50/62,437.50 = 62,437.50/x
  3. Step 3: Cross multiply
    45,589.50x = 62,437.50 × 62,437.50
  4. Step 4: Simplify right side
    45,589.50x = 3,898,441,406.25
  5. Step 5: Solve for x
    x = 3,898,441,406.25/45,589.50
  6. Step 6: Final answer
    x = 85,511.83

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.