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Finding the Third Proportional to 24,224 and 36,200

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Solution

The third proportional to 24,224 and 36,200 is: 54,096.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,224 : 36,200 = 36,200 : x
  2. Step 2: Convert to fraction form
    24,224/36,200 = 36,200/x
  3. Step 3: Cross multiply
    24,224x = 36,200 × 36,200
  4. Step 4: Simplify right side
    24,224x = 1,310,440,000
  5. Step 5: Solve for x
    x = 1,310,440,000/24,224
  6. Step 6: Final answer
    x = 54,096.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.