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Finding the Third Proportional to 3,090.25 and 4,782

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Solution

The third proportional to 3,090.25 and 4,782 is: 7,399.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.25 : 4,782 = 4,782 : x
  2. Step 2: Convert to fraction form
    3,090.25/4,782 = 4,782/x
  3. Step 3: Cross multiply
    3,090.25x = 4,782 × 4,782
  4. Step 4: Simplify right side
    3,090.25x = 22,867,524
  5. Step 5: Solve for x
    x = 22,867,524/3,090.25
  6. Step 6: Final answer
    x = 7,399.89

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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.