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Finding the Third Proportional to 5,651.25 and 7,474.50

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Solution

The third proportional to 5,651.25 and 7,474.50 is: 9,885.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.25 : 7,474.50 = 7,474.50 : x
  2. Step 2: Convert to fraction form
    5,651.25/7,474.50 = 7,474.50/x
  3. Step 3: Cross multiply
    5,651.25x = 7,474.50 × 7,474.50
  4. Step 4: Simplify right side
    5,651.25x = 55,868,150.25
  5. Step 5: Solve for x
    x = 55,868,150.25/5,651.25
  6. Step 6: Final answer
    x = 9,885.98

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.