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Finding the Third Proportional to 2,275 and 5,497

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Solution

The third proportional to 2,275 and 5,497 is: 13,282.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275 : 5,497 = 5,497 : x
  2. Step 2: Convert to fraction form
    2,275/5,497 = 5,497/x
  3. Step 3: Cross multiply
    2,275x = 5,497 × 5,497
  4. Step 4: Simplify right side
    2,275x = 30,217,009
  5. Step 5: Solve for x
    x = 30,217,009/2,275
  6. Step 6: Final answer
    x = 13,282.20

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.