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Finding the Third Proportional to 31,311.56 and 63,716.81

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Solution

The third proportional to 31,311.56 and 63,716.81 is: 129,659.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,311.56 : 63,716.81 = 63,716.81 : x
  2. Step 2: Convert to fraction form
    31,311.56/63,716.81 = 63,716.81/x
  3. Step 3: Cross multiply
    31,311.56x = 63,716.81 × 63,716.81
  4. Step 4: Simplify right side
    31,311.56x = 4,059,832,195.16
  5. Step 5: Solve for x
    x = 4,059,832,195.16/31,311.56
  6. Step 6: Final answer
    x = 129,659.20

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.