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Finding the Third Proportional to 10,233 and 24,351.75

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Solution

The third proportional to 10,233 and 24,351.75 is: 57,950.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,233 : 24,351.75 = 24,351.75 : x
  2. Step 2: Convert to fraction form
    10,233/24,351.75 = 24,351.75/x
  3. Step 3: Cross multiply
    10,233x = 24,351.75 × 24,351.75
  4. Step 4: Simplify right side
    10,233x = 593,007,728.06
  5. Step 5: Solve for x
    x = 593,007,728.06/10,233
  6. Step 6: Final answer
    x = 57,950.53

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.