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Finding the Third Proportional to 27,727.31 and 43,013.53

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Solution

The third proportional to 27,727.31 and 43,013.53 is: 66,727.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,727.31 : 43,013.53 = 43,013.53 : x
  2. Step 2: Convert to fraction form
    27,727.31/43,013.53 = 43,013.53/x
  3. Step 3: Cross multiply
    27,727.31x = 43,013.53 × 43,013.53
  4. Step 4: Simplify right side
    27,727.31x = 1,850,163,870.59
  5. Step 5: Solve for x
    x = 1,850,163,870.59/27,727.31
  6. Step 6: Final answer
    x = 66,727.13

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.