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Finding the Third Proportional to 2,041.24 and 3,153.94

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Solution

The third proportional to 2,041.24 and 3,153.94 is: 4,873.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.24 : 3,153.94 = 3,153.94 : x
  2. Step 2: Convert to fraction form
    2,041.24/3,153.94 = 3,153.94/x
  3. Step 3: Cross multiply
    2,041.24x = 3,153.94 × 3,153.94
  4. Step 4: Simplify right side
    2,041.24x = 9,947,321.75
  5. Step 5: Solve for x
    x = 9,947,321.75/2,041.24
  6. Step 6: Final answer
    x = 4,873.17

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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.