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Finding the Third Proportional to 9,239 and 20,206

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Solution

The third proportional to 9,239 and 20,206 is: 44,191.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,239 : 20,206 = 20,206 : x
  2. Step 2: Convert to fraction form
    9,239/20,206 = 20,206/x
  3. Step 3: Cross multiply
    9,239x = 20,206 × 20,206
  4. Step 4: Simplify right side
    9,239x = 408,282,436
  5. Step 5: Solve for x
    x = 408,282,436/9,239
  6. Step 6: Final answer
    x = 44,191.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.