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Finding the Third Proportional to 3,399.75 and 9,151.88

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Solution

The third proportional to 3,399.75 and 9,151.88 is: 24,636.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399.75 : 9,151.88 = 9,151.88 : x
  2. Step 2: Convert to fraction form
    3,399.75/9,151.88 = 9,151.88/x
  3. Step 3: Cross multiply
    3,399.75x = 9,151.88 × 9,151.88
  4. Step 4: Simplify right side
    3,399.75x = 83,756,816.02
  5. Step 5: Solve for x
    x = 83,756,816.02/3,399.75
  6. Step 6: Final answer
    x = 24,636.17

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These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.