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Finding the Third Proportional to 8,731.13 and 18,447.75

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Solution

The third proportional to 8,731.13 and 18,447.75 is: 38,977.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,731.13 : 18,447.75 = 18,447.75 : x
  2. Step 2: Convert to fraction form
    8,731.13/18,447.75 = 18,447.75/x
  3. Step 3: Cross multiply
    8,731.13x = 18,447.75 × 18,447.75
  4. Step 4: Simplify right side
    8,731.13x = 340,319,480.06
  5. Step 5: Solve for x
    x = 340,319,480.06/8,731.13
  6. Step 6: Final answer
    x = 38,977.74

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.