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Finding the Third Proportional to 23,800 and 36,332

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Solution

The third proportional to 23,800 and 36,332 is: 55,462.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,800 : 36,332 = 36,332 : x
  2. Step 2: Convert to fraction form
    23,800/36,332 = 36,332/x
  3. Step 3: Cross multiply
    23,800x = 36,332 × 36,332
  4. Step 4: Simplify right side
    23,800x = 1,320,014,224
  5. Step 5: Solve for x
    x = 1,320,014,224/23,800
  6. Step 6: Final answer
    x = 55,462.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.