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Finding the Third Proportional to 3,155.83 and 4,799.31

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Solution

The third proportional to 3,155.83 and 4,799.31 is: 7,298.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.83 : 4,799.31 = 4,799.31 : x
  2. Step 2: Convert to fraction form
    3,155.83/4,799.31 = 4,799.31/x
  3. Step 3: Cross multiply
    3,155.83x = 4,799.31 × 4,799.31
  4. Step 4: Simplify right side
    3,155.83x = 23,033,370.01
  5. Step 5: Solve for x
    x = 23,033,370.01/3,155.83
  6. Step 6: Final answer
    x = 7,298.68

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.