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Finding the Third Proportional to 18,407.25 and 27,952.59

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Solution

The third proportional to 18,407.25 and 27,952.59 is: 42,447.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,407.25 : 27,952.59 = 27,952.59 : x
  2. Step 2: Convert to fraction form
    18,407.25/27,952.59 = 27,952.59/x
  3. Step 3: Cross multiply
    18,407.25x = 27,952.59 × 27,952.59
  4. Step 4: Simplify right side
    18,407.25x = 781,347,497.35
  5. Step 5: Solve for x
    x = 781,347,497.35/18,407.25
  6. Step 6: Final answer
    x = 42,447.81

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.