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Finding the Third Proportional to 4,853.25 and 7,369.88

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Solution

The third proportional to 4,853.25 and 7,369.88 is: 11,191.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853.25 : 7,369.88 = 7,369.88 : x
  2. Step 2: Convert to fraction form
    4,853.25/7,369.88 = 7,369.88/x
  3. Step 3: Cross multiply
    4,853.25x = 7,369.88 × 7,369.88
  4. Step 4: Simplify right side
    4,853.25x = 54,315,057.52
  5. Step 5: Solve for x
    x = 54,315,057.52/4,853.25
  6. Step 6: Final answer
    x = 11,191.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.