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Finding the Third Proportional to 11,524 and 15,830

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Solution

The third proportional to 11,524 and 15,830 is: 21,744.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524 : 15,830 = 15,830 : x
  2. Step 2: Convert to fraction form
    11,524/15,830 = 15,830/x
  3. Step 3: Cross multiply
    11,524x = 15,830 × 15,830
  4. Step 4: Simplify right side
    11,524x = 250,588,900
  5. Step 5: Solve for x
    x = 250,588,900/11,524
  6. Step 6: Final answer
    x = 21,744.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.