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Finding the Third Proportional to 9,546 and 18,930

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Solution

The third proportional to 9,546 and 18,930 is: 37,538.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546 : 18,930 = 18,930 : x
  2. Step 2: Convert to fraction form
    9,546/18,930 = 18,930/x
  3. Step 3: Cross multiply
    9,546x = 18,930 × 18,930
  4. Step 4: Simplify right side
    9,546x = 358,344,900
  5. Step 5: Solve for x
    x = 358,344,900/9,546
  6. Step 6: Final answer
    x = 37,538.75

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.