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Finding the Third Proportional to 1,241.10 and 2,708.28

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Solution

The third proportional to 1,241.10 and 2,708.28 is: 5,909.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.10 : 2,708.28 = 2,708.28 : x
  2. Step 2: Convert to fraction form
    1,241.10/2,708.28 = 2,708.28/x
  3. Step 3: Cross multiply
    1,241.10x = 2,708.28 × 2,708.28
  4. Step 4: Simplify right side
    1,241.10x = 7,334,776.75
  5. Step 5: Solve for x
    x = 7,334,776.75/1,241.10
  6. Step 6: Final answer
    x = 5,909.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.