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Finding the Third Proportional to 27,686.06 and 41,520.56

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Solution

The third proportional to 27,686.06 and 41,520.56 is: 62,268.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,686.06 : 41,520.56 = 41,520.56 : x
  2. Step 2: Convert to fraction form
    27,686.06/41,520.56 = 41,520.56/x
  3. Step 3: Cross multiply
    27,686.06x = 41,520.56 × 41,520.56
  4. Step 4: Simplify right side
    27,686.06x = 1,723,957,110.32
  5. Step 5: Solve for x
    x = 1,723,957,110.32/27,686.06
  6. Step 6: Final answer
    x = 62,268.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.