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Finding the Third Proportional to 1,204.13 and 2,797.69

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Solution

The third proportional to 1,204.13 and 2,797.69 is: 6,500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.13 : 2,797.69 = 2,797.69 : x
  2. Step 2: Convert to fraction form
    1,204.13/2,797.69 = 2,797.69/x
  3. Step 3: Cross multiply
    1,204.13x = 2,797.69 × 2,797.69
  4. Step 4: Simplify right side
    1,204.13x = 7,827,055.35
  5. Step 5: Solve for x
    x = 7,827,055.35/1,204.13
  6. Step 6: Final answer
    x = 6,500.20

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.