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Finding the Third Proportional to 17,564 and 24,394

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Solution

The third proportional to 17,564 and 24,394 is: 33,879.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,564 : 24,394 = 24,394 : x
  2. Step 2: Convert to fraction form
    17,564/24,394 = 24,394/x
  3. Step 3: Cross multiply
    17,564x = 24,394 × 24,394
  4. Step 4: Simplify right side
    17,564x = 595,067,236
  5. Step 5: Solve for x
    x = 595,067,236/17,564
  6. Step 6: Final answer
    x = 33,879.94

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.