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Finding the Third Proportional to 9,340 and 18,960

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Solution

The third proportional to 9,340 and 18,960 is: 38,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340 : 18,960 = 18,960 : x
  2. Step 2: Convert to fraction form
    9,340/18,960 = 18,960/x
  3. Step 3: Cross multiply
    9,340x = 18,960 × 18,960
  4. Step 4: Simplify right side
    9,340x = 359,481,600
  5. Step 5: Solve for x
    x = 359,481,600/9,340
  6. Step 6: Final answer
    x = 38,488.39

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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.