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Finding the Third Proportional to 18,407.25 and 39,274.88

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Solution

The third proportional to 18,407.25 and 39,274.88 is: 83,799.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,407.25 : 39,274.88 = 39,274.88 : x
  2. Step 2: Convert to fraction form
    18,407.25/39,274.88 = 39,274.88/x
  3. Step 3: Cross multiply
    18,407.25x = 39,274.88 × 39,274.88
  4. Step 4: Simplify right side
    18,407.25x = 1,542,515,806.27
  5. Step 5: Solve for x
    x = 1,542,515,806.27/18,407.25
  6. Step 6: Final answer
    x = 83,799.36

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.