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Finding the Third Proportional to 3,667.78 and 4,937.84

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Solution

The third proportional to 3,667.78 and 4,937.84 is: 6,647.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.78 : 4,937.84 = 4,937.84 : x
  2. Step 2: Convert to fraction form
    3,667.78/4,937.84 = 4,937.84/x
  3. Step 3: Cross multiply
    3,667.78x = 4,937.84 × 4,937.84
  4. Step 4: Simplify right side
    3,667.78x = 24,382,223.75
  5. Step 5: Solve for x
    x = 24,382,223.75/3,667.78
  6. Step 6: Final answer
    x = 6,647.68

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.