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Finding the Third Proportional to 31,514.06 and 67,806.56

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Solution

The third proportional to 31,514.06 and 67,806.56 is: 145,894.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,514.06 : 67,806.56 = 67,806.56 : x
  2. Step 2: Convert to fraction form
    31,514.06/67,806.56 = 67,806.56/x
  3. Step 3: Cross multiply
    31,514.06x = 67,806.56 × 67,806.56
  4. Step 4: Simplify right side
    31,514.06x = 4,597,729,918.07
  5. Step 5: Solve for x
    x = 4,597,729,918.07/31,514.06
  6. Step 6: Final answer
    x = 145,894.55

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