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Finding the Third Proportional to 9,089 and 18,759

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Solution

The third proportional to 9,089 and 18,759 is: 38,717.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089 : 18,759 = 18,759 : x
  2. Step 2: Convert to fraction form
    9,089/18,759 = 18,759/x
  3. Step 3: Cross multiply
    9,089x = 18,759 × 18,759
  4. Step 4: Simplify right side
    9,089x = 351,900,081
  5. Step 5: Solve for x
    x = 351,900,081/9,089
  6. Step 6: Final answer
    x = 38,717.14

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.