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Finding the Third Proportional to 31,605.19 and 50,437.69

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Solution

The third proportional to 31,605.19 and 50,437.69 is: 80,491.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,605.19 : 50,437.69 = 50,437.69 : x
  2. Step 2: Convert to fraction form
    31,605.19/50,437.69 = 50,437.69/x
  3. Step 3: Cross multiply
    31,605.19x = 50,437.69 × 50,437.69
  4. Step 4: Simplify right side
    31,605.19x = 2,543,960,320.35
  5. Step 5: Solve for x
    x = 2,543,960,320.35/31,605.19
  6. Step 6: Final answer
    x = 80,491.86

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.