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Finding the Third Proportional to 31,843.13 and 43,876.69

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Solution

The third proportional to 31,843.13 and 43,876.69 is: 60,457.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,843.13 : 43,876.69 = 43,876.69 : x
  2. Step 2: Convert to fraction form
    31,843.13/43,876.69 = 43,876.69/x
  3. Step 3: Cross multiply
    31,843.13x = 43,876.69 × 43,876.69
  4. Step 4: Simplify right side
    31,843.13x = 1,925,163,705.97
  5. Step 5: Solve for x
    x = 1,925,163,705.97/31,843.13
  6. Step 6: Final answer
    x = 60,457.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.