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Finding the Third Proportional to 2,271 and 2,686.13

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Solution

The third proportional to 2,271 and 2,686.13 is: 3,177.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271 : 2,686.13 = 2,686.13 : x
  2. Step 2: Convert to fraction form
    2,271/2,686.13 = 2,686.13/x
  3. Step 3: Cross multiply
    2,271x = 2,686.13 × 2,686.13
  4. Step 4: Simplify right side
    2,271x = 7,215,267.52
  5. Step 5: Solve for x
    x = 7,215,267.52/2,271
  6. Step 6: Final answer
    x = 3,177.13

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.