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Finding the Third Proportional to 31,286.25 and 67,486.50

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Solution

The third proportional to 31,286.25 and 67,486.50 is: 145,572.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,286.25 : 67,486.50 = 67,486.50 : x
  2. Step 2: Convert to fraction form
    31,286.25/67,486.50 = 67,486.50/x
  3. Step 3: Cross multiply
    31,286.25x = 67,486.50 × 67,486.50
  4. Step 4: Simplify right side
    31,286.25x = 4,554,427,682.25
  5. Step 5: Solve for x
    x = 4,554,427,682.25/31,286.25
  6. Step 6: Final answer
    x = 145,572.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.