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Finding the Third Proportional to 17,239 and 24,394

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Solution

The third proportional to 17,239 and 24,394 is: 34,518.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,239 : 24,394 = 24,394 : x
  2. Step 2: Convert to fraction form
    17,239/24,394 = 24,394/x
  3. Step 3: Cross multiply
    17,239x = 24,394 × 24,394
  4. Step 4: Simplify right side
    17,239x = 595,067,236
  5. Step 5: Solve for x
    x = 595,067,236/17,239
  6. Step 6: Final answer
    x = 34,518.66

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.