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Finding the Third Proportional to 5,301.70 and 11,524.78

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Solution

The third proportional to 5,301.70 and 11,524.78 is: 25,052.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.70 : 11,524.78 = 11,524.78 : x
  2. Step 2: Convert to fraction form
    5,301.70/11,524.78 = 11,524.78/x
  3. Step 3: Cross multiply
    5,301.70x = 11,524.78 × 11,524.78
  4. Step 4: Simplify right side
    5,301.70x = 132,820,582.86
  5. Step 5: Solve for x
    x = 132,820,582.86/5,301.70
  6. Step 6: Final answer
    x = 25,052.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.