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Finding the Third Proportional to 24,451 and 36,233

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Solution

The third proportional to 24,451 and 36,233 is: 53,692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,451 : 36,233 = 36,233 : x
  2. Step 2: Convert to fraction form
    24,451/36,233 = 36,233/x
  3. Step 3: Cross multiply
    24,451x = 36,233 × 36,233
  4. Step 4: Simplify right side
    24,451x = 1,312,830,289
  5. Step 5: Solve for x
    x = 1,312,830,289/24,451
  6. Step 6: Final answer
    x = 53,692.29

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.