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Finding the Third Proportional to 31,181.20 and 46,723.71

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Solution

The third proportional to 31,181.20 and 46,723.71 is: 70,013.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,181.20 : 46,723.71 = 46,723.71 : x
  2. Step 2: Convert to fraction form
    31,181.20/46,723.71 = 46,723.71/x
  3. Step 3: Cross multiply
    31,181.20x = 46,723.71 × 46,723.71
  4. Step 4: Simplify right side
    31,181.20x = 2,183,105,163.77
  5. Step 5: Solve for x
    x = 2,183,105,163.77/31,181.20
  6. Step 6: Final answer
    x = 70,013.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.