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Finding the Third Proportional to 4,758.75 and 7,408.97

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Solution

The third proportional to 4,758.75 and 7,408.97 is: 11,535.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.75 : 7,408.97 = 7,408.97 : x
  2. Step 2: Convert to fraction form
    4,758.75/7,408.97 = 7,408.97/x
  3. Step 3: Cross multiply
    4,758.75x = 7,408.97 × 7,408.97
  4. Step 4: Simplify right side
    4,758.75x = 54,892,817.94
  5. Step 5: Solve for x
    x = 54,892,817.94/4,758.75
  6. Step 6: Final answer
    x = 11,535.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.