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Finding the Third Proportional to 4,234.78 and 6,868.55

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Solution

The third proportional to 4,234.78 and 6,868.55 is: 11,140.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.78 : 6,868.55 = 6,868.55 : x
  2. Step 2: Convert to fraction form
    4,234.78/6,868.55 = 6,868.55/x
  3. Step 3: Cross multiply
    4,234.78x = 6,868.55 × 6,868.55
  4. Step 4: Simplify right side
    4,234.78x = 47,176,936.17
  5. Step 5: Solve for x
    x = 47,176,936.17/4,234.78
  6. Step 6: Final answer
    x = 11,140.35

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.