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Finding the Third Proportional to 2,655 and 5,481

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Solution

The third proportional to 2,655 and 5,481 is: 11,315.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655 : 5,481 = 5,481 : x
  2. Step 2: Convert to fraction form
    2,655/5,481 = 5,481/x
  3. Step 3: Cross multiply
    2,655x = 5,481 × 5,481
  4. Step 4: Simplify right side
    2,655x = 30,041,361
  5. Step 5: Solve for x
    x = 30,041,361/2,655
  6. Step 6: Final answer
    x = 11,315.01

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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.