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Finding the Third Proportional to 2,265 and 5,217

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Solution

The third proportional to 2,265 and 5,217 is: 12,016.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265 : 5,217 = 5,217 : x
  2. Step 2: Convert to fraction form
    2,265/5,217 = 5,217/x
  3. Step 3: Cross multiply
    2,265x = 5,217 × 5,217
  4. Step 4: Simplify right side
    2,265x = 27,217,089
  5. Step 5: Solve for x
    x = 27,217,089/2,265
  6. Step 6: Final answer
    x = 12,016.37

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.