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Finding the Third Proportional to 31,837.13 and 68,372.25

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Solution

The third proportional to 31,837.13 and 68,372.25 is: 146,833.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,837.13 : 68,372.25 = 68,372.25 : x
  2. Step 2: Convert to fraction form
    31,837.13/68,372.25 = 68,372.25/x
  3. Step 3: Cross multiply
    31,837.13x = 68,372.25 × 68,372.25
  4. Step 4: Simplify right side
    31,837.13x = 4,674,764,570.06
  5. Step 5: Solve for x
    x = 4,674,764,570.06/31,837.13
  6. Step 6: Final answer
    x = 146,833.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.