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Finding the Third Proportional to 2,275.88 and 2,674.13

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Solution

The third proportional to 2,275.88 and 2,674.13 is: 3,142.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.88 : 2,674.13 = 2,674.13 : x
  2. Step 2: Convert to fraction form
    2,275.88/2,674.13 = 2,674.13/x
  3. Step 3: Cross multiply
    2,275.88x = 2,674.13 × 2,674.13
  4. Step 4: Simplify right side
    2,275.88x = 7,150,944.52
  5. Step 5: Solve for x
    x = 7,150,944.52/2,275.88
  6. Step 6: Final answer
    x = 3,142.06

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.