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Finding the Third Proportional to 9,378 and 19,026

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Solution

The third proportional to 9,378 and 19,026 is: 38,599.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378 : 19,026 = 19,026 : x
  2. Step 2: Convert to fraction form
    9,378/19,026 = 19,026/x
  3. Step 3: Cross multiply
    9,378x = 19,026 × 19,026
  4. Step 4: Simplify right side
    9,378x = 361,988,676
  5. Step 5: Solve for x
    x = 361,988,676/9,378
  6. Step 6: Final answer
    x = 38,599.77

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.