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Finding the Third Proportional to 2,896 and 5,408

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Solution

The third proportional to 2,896 and 5,408 is: 10,098.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896 : 5,408 = 5,408 : x
  2. Step 2: Convert to fraction form
    2,896/5,408 = 5,408/x
  3. Step 3: Cross multiply
    2,896x = 5,408 × 5,408
  4. Step 4: Simplify right side
    2,896x = 29,246,464
  5. Step 5: Solve for x
    x = 29,246,464/2,896
  6. Step 6: Final answer
    x = 10,098.92

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.