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Finding the Third Proportional to 2,398 and 5,228

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Solution

The third proportional to 2,398 and 5,228 is: 11,397.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398 : 5,228 = 5,228 : x
  2. Step 2: Convert to fraction form
    2,398/5,228 = 5,228/x
  3. Step 3: Cross multiply
    2,398x = 5,228 × 5,228
  4. Step 4: Simplify right side
    2,398x = 27,331,984
  5. Step 5: Solve for x
    x = 27,331,984/2,398
  6. Step 6: Final answer
    x = 11,397.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.