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Finding the Third Proportional to 31,033.13 and 46,711.69

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Solution

The third proportional to 31,033.13 and 46,711.69 is: 70,311.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,033.13 : 46,711.69 = 46,711.69 : x
  2. Step 2: Convert to fraction form
    31,033.13/46,711.69 = 46,711.69/x
  3. Step 3: Cross multiply
    31,033.13x = 46,711.69 × 46,711.69
  4. Step 4: Simplify right side
    31,033.13x = 2,181,981,749.10
  5. Step 5: Solve for x
    x = 2,181,981,749.10/31,033.13
  6. Step 6: Final answer
    x = 70,311.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.