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Finding the Third Proportional to 9,394 and 17,870

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Solution

The third proportional to 9,394 and 17,870 is: 33,993.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394 : 17,870 = 17,870 : x
  2. Step 2: Convert to fraction form
    9,394/17,870 = 17,870/x
  3. Step 3: Cross multiply
    9,394x = 17,870 × 17,870
  4. Step 4: Simplify right side
    9,394x = 319,336,900
  5. Step 5: Solve for x
    x = 319,336,900/9,394
  6. Step 6: Final answer
    x = 33,993.71

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.