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Finding the Third Proportional to 31,986.75 and 37,641.75

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Solution

The third proportional to 31,986.75 and 37,641.75 is: 44,296.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,986.75 : 37,641.75 = 37,641.75 : x
  2. Step 2: Convert to fraction form
    31,986.75/37,641.75 = 37,641.75/x
  3. Step 3: Cross multiply
    31,986.75x = 37,641.75 × 37,641.75
  4. Step 4: Simplify right side
    31,986.75x = 1,416,901,343.06
  5. Step 5: Solve for x
    x = 1,416,901,343.06/31,986.75
  6. Step 6: Final answer
    x = 44,296.51

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.