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Finding the Third Proportional to 7,947.38 and 10,546.13

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Solution

The third proportional to 7,947.38 and 10,546.13 is: 13,994.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,947.38 : 10,546.13 = 10,546.13 : x
  2. Step 2: Convert to fraction form
    7,947.38/10,546.13 = 10,546.13/x
  3. Step 3: Cross multiply
    7,947.38x = 10,546.13 × 10,546.13
  4. Step 4: Simplify right side
    7,947.38x = 111,220,752.52
  5. Step 5: Solve for x
    x = 111,220,752.52/7,947.38
  6. Step 6: Final answer
    x = 13,994.65

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.