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Finding the Third Proportional to 955.13 and 2,074.78

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Solution

The third proportional to 955.13 and 2,074.78 is: 4,506.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.13 : 2,074.78 = 2,074.78 : x
  2. Step 2: Convert to fraction form
    955.13/2,074.78 = 2,074.78/x
  3. Step 3: Cross multiply
    955.13x = 2,074.78 × 2,074.78
  4. Step 4: Simplify right side
    955.13x = 4,304,717.24
  5. Step 5: Solve for x
    x = 4,304,717.24/955.13
  6. Step 6: Final answer
    x = 4,506.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.