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Finding the Third Proportional to 2,561 and 5,587

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Solution

The third proportional to 2,561 and 5,587 is: 12,188.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561 : 5,587 = 5,587 : x
  2. Step 2: Convert to fraction form
    2,561/5,587 = 5,587/x
  3. Step 3: Cross multiply
    2,561x = 5,587 × 5,587
  4. Step 4: Simplify right side
    2,561x = 31,214,569
  5. Step 5: Solve for x
    x = 31,214,569/2,561
  6. Step 6: Final answer
    x = 12,188.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.