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Finding the Third Proportional to 2,561 and 5,176

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Solution

The third proportional to 2,561 and 5,176 is: 10,461.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561 : 5,176 = 5,176 : x
  2. Step 2: Convert to fraction form
    2,561/5,176 = 5,176/x
  3. Step 3: Cross multiply
    2,561x = 5,176 × 5,176
  4. Step 4: Simplify right side
    2,561x = 26,790,976
  5. Step 5: Solve for x
    x = 26,790,976/2,561
  6. Step 6: Final answer
    x = 10,461.14

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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.