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Finding the Third Proportional to 31,325.91 and 68,882.91

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Solution

The third proportional to 31,325.91 and 68,882.91 is: 151,467.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,325.91 : 68,882.91 = 68,882.91 : x
  2. Step 2: Convert to fraction form
    31,325.91/68,882.91 = 68,882.91/x
  3. Step 3: Cross multiply
    31,325.91x = 68,882.91 × 68,882.91
  4. Step 4: Simplify right side
    31,325.91x = 4,744,854,773.45
  5. Step 5: Solve for x
    x = 4,744,854,773.45/31,325.91
  6. Step 6: Final answer
    x = 151,467.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.