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Finding the Third Proportional to 3,187.05 and 4,947.12

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Solution

The third proportional to 3,187.05 and 4,947.12 is: 7,679.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.05 : 4,947.12 = 4,947.12 : x
  2. Step 2: Convert to fraction form
    3,187.05/4,947.12 = 4,947.12/x
  3. Step 3: Cross multiply
    3,187.05x = 4,947.12 × 4,947.12
  4. Step 4: Simplify right side
    3,187.05x = 24,473,968.47
  5. Step 5: Solve for x
    x = 24,473,968.47/3,187.05
  6. Step 6: Final answer
    x = 7,679.18

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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.