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Finding the Third Proportional to 2,561 and 5,185

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Solution

The third proportional to 2,561 and 5,185 is: 10,497.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561 : 5,185 = 5,185 : x
  2. Step 2: Convert to fraction form
    2,561/5,185 = 5,185/x
  3. Step 3: Cross multiply
    2,561x = 5,185 × 5,185
  4. Step 4: Simplify right side
    2,561x = 26,884,225
  5. Step 5: Solve for x
    x = 26,884,225/2,561
  6. Step 6: Final answer
    x = 10,497.55

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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.