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Finding the Third Proportional to 896 and 2,408

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Solution

The third proportional to 896 and 2,408 is: 6,471.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    896 : 2,408 = 2,408 : x
  2. Step 2: Convert to fraction form
    896/2,408 = 2,408/x
  3. Step 3: Cross multiply
    896x = 2,408 × 2,408
  4. Step 4: Simplify right side
    896x = 5,798,464
  5. Step 5: Solve for x
    x = 5,798,464/896
  6. Step 6: Final answer
    x = 6,471.50

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.