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Finding the Third Proportional to 24,704 and 33,600

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Solution

The third proportional to 24,704 and 33,600 is: 45,699.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,704 : 33,600 = 33,600 : x
  2. Step 2: Convert to fraction form
    24,704/33,600 = 33,600/x
  3. Step 3: Cross multiply
    24,704x = 33,600 × 33,600
  4. Step 4: Simplify right side
    24,704x = 1,128,960,000
  5. Step 5: Solve for x
    x = 1,128,960,000/24,704
  6. Step 6: Final answer
    x = 45,699.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.