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Finding the Third Proportional to 2,289 and 4,251

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Solution

The third proportional to 2,289 and 4,251 is: 7,894.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289 : 4,251 = 4,251 : x
  2. Step 2: Convert to fraction form
    2,289/4,251 = 4,251/x
  3. Step 3: Cross multiply
    2,289x = 4,251 × 4,251
  4. Step 4: Simplify right side
    2,289x = 18,071,001
  5. Step 5: Solve for x
    x = 18,071,001/2,289
  6. Step 6: Final answer
    x = 7,894.71

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.