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Finding the Third Proportional to 24,224 and 52,144

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Solution

The third proportional to 24,224 and 52,144 is: 112,243.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,224 : 52,144 = 52,144 : x
  2. Step 2: Convert to fraction form
    24,224/52,144 = 52,144/x
  3. Step 3: Cross multiply
    24,224x = 52,144 × 52,144
  4. Step 4: Simplify right side
    24,224x = 2,718,996,736
  5. Step 5: Solve for x
    x = 2,718,996,736/24,224
  6. Step 6: Final answer
    x = 112,243.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.