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Finding the Third Proportional to 5,574 and 7,474.50

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Solution

The third proportional to 5,574 and 7,474.50 is: 10,022.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574 : 7,474.50 = 7,474.50 : x
  2. Step 2: Convert to fraction form
    5,574/7,474.50 = 7,474.50/x
  3. Step 3: Cross multiply
    5,574x = 7,474.50 × 7,474.50
  4. Step 4: Simplify right side
    5,574x = 55,868,150.25
  5. Step 5: Solve for x
    x = 55,868,150.25/5,574
  6. Step 6: Final answer
    x = 10,022.99

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.