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Finding the Third Proportional to 3,153.52 and 4,947.33

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Solution

The third proportional to 3,153.52 and 4,947.33 is: 7,761.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.52 : 4,947.33 = 4,947.33 : x
  2. Step 2: Convert to fraction form
    3,153.52/4,947.33 = 4,947.33/x
  3. Step 3: Cross multiply
    3,153.52x = 4,947.33 × 4,947.33
  4. Step 4: Simplify right side
    3,153.52x = 24,476,055.58
  5. Step 5: Solve for x
    x = 24,476,055.58/3,153.52
  6. Step 6: Final answer
    x = 7,761.51

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.