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Finding the Third Proportional to 1,046.04 and 2,314.20

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Solution

The third proportional to 1,046.04 and 2,314.20 is: 5,119.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.04 : 2,314.20 = 2,314.20 : x
  2. Step 2: Convert to fraction form
    1,046.04/2,314.20 = 2,314.20/x
  3. Step 3: Cross multiply
    1,046.04x = 2,314.20 × 2,314.20
  4. Step 4: Simplify right side
    1,046.04x = 5,355,499.94
  5. Step 5: Solve for x
    x = 5,355,499.94/1,046.04
  6. Step 6: Final answer
    x = 5,119.79

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.