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Finding the Third Proportional to 9,238 and 18,818

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Solution

The third proportional to 9,238 and 18,818 is: 38,332.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238 : 18,818 = 18,818 : x
  2. Step 2: Convert to fraction form
    9,238/18,818 = 18,818/x
  3. Step 3: Cross multiply
    9,238x = 18,818 × 18,818
  4. Step 4: Simplify right side
    9,238x = 354,117,124
  5. Step 5: Solve for x
    x = 354,117,124/9,238
  6. Step 6: Final answer
    x = 38,332.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.