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Finding the Third Proportional to 24,449 and 36,230

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Solution

The third proportional to 24,449 and 36,230 is: 53,687.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,449 : 36,230 = 36,230 : x
  2. Step 2: Convert to fraction form
    24,449/36,230 = 36,230/x
  3. Step 3: Cross multiply
    24,449x = 36,230 × 36,230
  4. Step 4: Simplify right side
    24,449x = 1,312,612,900
  5. Step 5: Solve for x
    x = 1,312,612,900/24,449
  6. Step 6: Final answer
    x = 53,687.80

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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.