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Finding the Third Proportional to 11,573 and 24,899

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Solution

The third proportional to 11,573 and 24,899 is: 53,569.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573 : 24,899 = 24,899 : x
  2. Step 2: Convert to fraction form
    11,573/24,899 = 24,899/x
  3. Step 3: Cross multiply
    11,573x = 24,899 × 24,899
  4. Step 4: Simplify right side
    11,573x = 619,960,201
  5. Step 5: Solve for x
    x = 619,960,201/11,573
  6. Step 6: Final answer
    x = 53,569.53

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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.