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Finding the Third Proportional to 4,747.75 and 10,331.65

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Solution

The third proportional to 4,747.75 and 10,331.65 is: 22,482.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.75 : 10,331.65 = 10,331.65 : x
  2. Step 2: Convert to fraction form
    4,747.75/10,331.65 = 10,331.65/x
  3. Step 3: Cross multiply
    4,747.75x = 10,331.65 × 10,331.65
  4. Step 4: Simplify right side
    4,747.75x = 106,743,050.24
  5. Step 5: Solve for x
    x = 106,743,050.24/4,747.75
  6. Step 6: Final answer
    x = 22,482.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.