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Finding the Third Proportional to 2,558 and 5,276

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Solution

The third proportional to 2,558 and 5,276 is: 10,882.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558 : 5,276 = 5,276 : x
  2. Step 2: Convert to fraction form
    2,558/5,276 = 5,276/x
  3. Step 3: Cross multiply
    2,558x = 5,276 × 5,276
  4. Step 4: Simplify right side
    2,558x = 27,836,176
  5. Step 5: Solve for x
    x = 27,836,176/2,558
  6. Step 6: Final answer
    x = 10,882.01

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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.