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Finding the Third Proportional to 2,797 and 4,408.50

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Solution

The third proportional to 2,797 and 4,408.50 is: 6,948.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797 : 4,408.50 = 4,408.50 : x
  2. Step 2: Convert to fraction form
    2,797/4,408.50 = 4,408.50/x
  3. Step 3: Cross multiply
    2,797x = 4,408.50 × 4,408.50
  4. Step 4: Simplify right side
    2,797x = 19,434,872.25
  5. Step 5: Solve for x
    x = 19,434,872.25/2,797
  6. Step 6: Final answer
    x = 6,948.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.