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Finding the Third Proportional to 2,591 and 5,461

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Solution

The third proportional to 2,591 and 5,461 is: 11,510.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591 : 5,461 = 5,461 : x
  2. Step 2: Convert to fraction form
    2,591/5,461 = 5,461/x
  3. Step 3: Cross multiply
    2,591x = 5,461 × 5,461
  4. Step 4: Simplify right side
    2,591x = 29,822,521
  5. Step 5: Solve for x
    x = 29,822,521/2,591
  6. Step 6: Final answer
    x = 11,510.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.