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Finding the Third Proportional to 31,715.75 and 41,713.75

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Solution

The third proportional to 31,715.75 and 41,713.75 is: 54,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,715.75 : 41,713.75 = 41,713.75 : x
  2. Step 2: Convert to fraction form
    31,715.75/41,713.75 = 41,713.75/x
  3. Step 3: Cross multiply
    31,715.75x = 41,713.75 × 41,713.75
  4. Step 4: Simplify right side
    31,715.75x = 1,740,036,939.06
  5. Step 5: Solve for x
    x = 1,740,036,939.06/31,715.75
  6. Step 6: Final answer
    x = 54,863.50

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.