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Finding the Third Proportional to 31,438.13 and 68,419.69

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Solution

The third proportional to 31,438.13 and 68,419.69 is: 148,903.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,438.13 : 68,419.69 = 68,419.69 : x
  2. Step 2: Convert to fraction form
    31,438.13/68,419.69 = 68,419.69/x
  3. Step 3: Cross multiply
    31,438.13x = 68,419.69 × 68,419.69
  4. Step 4: Simplify right side
    31,438.13x = 4,681,253,637.60
  5. Step 5: Solve for x
    x = 4,681,253,637.60/31,438.13
  6. Step 6: Final answer
    x = 148,903.72

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.