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Finding the Third Proportional to 27,724.15 and 43,434.35

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Solution

The third proportional to 27,724.15 and 43,434.35 is: 68,046.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,724.15 : 43,434.35 = 43,434.35 : x
  2. Step 2: Convert to fraction form
    27,724.15/43,434.35 = 43,434.35/x
  3. Step 3: Cross multiply
    27,724.15x = 43,434.35 × 43,434.35
  4. Step 4: Simplify right side
    27,724.15x = 1,886,542,895.65
  5. Step 5: Solve for x
    x = 1,886,542,895.65/27,724.15
  6. Step 6: Final answer
    x = 68,046.92

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.