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Finding the Third Proportional to 2,592 and 5,238

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Solution

The third proportional to 2,592 and 5,238 is: 10,585.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592 : 5,238 = 5,238 : x
  2. Step 2: Convert to fraction form
    2,592/5,238 = 5,238/x
  3. Step 3: Cross multiply
    2,592x = 5,238 × 5,238
  4. Step 4: Simplify right side
    2,592x = 27,436,644
  5. Step 5: Solve for x
    x = 27,436,644/2,592
  6. Step 6: Final answer
    x = 10,585.13

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.