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Finding the Third Proportional to 31,347.75 and 67,616.44

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Solution

The third proportional to 31,347.75 and 67,616.44 is: 145,847.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,347.75 : 67,616.44 = 67,616.44 : x
  2. Step 2: Convert to fraction form
    31,347.75/67,616.44 = 67,616.44/x
  3. Step 3: Cross multiply
    31,347.75x = 67,616.44 × 67,616.44
  4. Step 4: Simplify right side
    31,347.75x = 4,571,982,620.19
  5. Step 5: Solve for x
    x = 4,571,982,620.19/31,347.75
  6. Step 6: Final answer
    x = 145,847.23

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Why These Related Problems?

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