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Finding the Third Proportional to 3,451 and 5,488.50

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Solution

The third proportional to 3,451 and 5,488.50 is: 8,728.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451 : 5,488.50 = 5,488.50 : x
  2. Step 2: Convert to fraction form
    3,451/5,488.50 = 5,488.50/x
  3. Step 3: Cross multiply
    3,451x = 5,488.50 × 5,488.50
  4. Step 4: Simplify right side
    3,451x = 30,123,632.25
  5. Step 5: Solve for x
    x = 30,123,632.25/3,451
  6. Step 6: Final answer
    x = 8,728.96

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.