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Finding the Third Proportional to 24,224 and 36,456

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Solution

The third proportional to 24,224 and 36,456 is: 54,864.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,224 : 36,456 = 36,456 : x
  2. Step 2: Convert to fraction form
    24,224/36,456 = 36,456/x
  3. Step 3: Cross multiply
    24,224x = 36,456 × 36,456
  4. Step 4: Simplify right side
    24,224x = 1,329,039,936
  5. Step 5: Solve for x
    x = 1,329,039,936/24,224
  6. Step 6: Final answer
    x = 54,864.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.