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Finding the Third Proportional to 31,944 and 67,985.25

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Solution

The third proportional to 31,944 and 67,985.25 is: 144,690.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,944 : 67,985.25 = 67,985.25 : x
  2. Step 2: Convert to fraction form
    31,944/67,985.25 = 67,985.25/x
  3. Step 3: Cross multiply
    31,944x = 67,985.25 × 67,985.25
  4. Step 4: Simplify right side
    31,944x = 4,621,994,217.56
  5. Step 5: Solve for x
    x = 4,621,994,217.56/31,944
  6. Step 6: Final answer
    x = 144,690.53

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.