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Finding the Third Proportional to 3,840.75 and 9,524.25

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Solution

The third proportional to 3,840.75 and 9,524.25 is: 23,618.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.75 : 9,524.25 = 9,524.25 : x
  2. Step 2: Convert to fraction form
    3,840.75/9,524.25 = 9,524.25/x
  3. Step 3: Cross multiply
    3,840.75x = 9,524.25 × 9,524.25
  4. Step 4: Simplify right side
    3,840.75x = 90,711,338.06
  5. Step 5: Solve for x
    x = 90,711,338.06/3,840.75
  6. Step 6: Final answer
    x = 23,618.13

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.