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Finding the Third Proportional to 2,548 and 5,259

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Solution

The third proportional to 2,548 and 5,259 is: 10,854.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548 : 5,259 = 5,259 : x
  2. Step 2: Convert to fraction form
    2,548/5,259 = 5,259/x
  3. Step 3: Cross multiply
    2,548x = 5,259 × 5,259
  4. Step 4: Simplify right side
    2,548x = 27,657,081
  5. Step 5: Solve for x
    x = 27,657,081/2,548
  6. Step 6: Final answer
    x = 10,854.43

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.