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Finding the Third Proportional to 11,573 and 24,600

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Solution

The third proportional to 11,573 and 24,600 is: 52,290.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573 : 24,600 = 24,600 : x
  2. Step 2: Convert to fraction form
    11,573/24,600 = 24,600/x
  3. Step 3: Cross multiply
    11,573x = 24,600 × 24,600
  4. Step 4: Simplify right side
    11,573x = 605,160,000
  5. Step 5: Solve for x
    x = 605,160,000/11,573
  6. Step 6: Final answer
    x = 52,290.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.