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Finding the Third Proportional to 31,194.25 and 67,643

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Solution

The third proportional to 31,194.25 and 67,643 is: 146,680.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,194.25 : 67,643 = 67,643 : x
  2. Step 2: Convert to fraction form
    31,194.25/67,643 = 67,643/x
  3. Step 3: Cross multiply
    31,194.25x = 67,643 × 67,643
  4. Step 4: Simplify right side
    31,194.25x = 4,575,575,449
  5. Step 5: Solve for x
    x = 4,575,575,449/31,194.25
  6. Step 6: Final answer
    x = 146,680.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.