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Finding the Third Proportional to 8,206 and 19,261

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Solution

The third proportional to 8,206 and 19,261 is: 45,209.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206 : 19,261 = 19,261 : x
  2. Step 2: Convert to fraction form
    8,206/19,261 = 19,261/x
  3. Step 3: Cross multiply
    8,206x = 19,261 × 19,261
  4. Step 4: Simplify right side
    8,206x = 370,986,121
  5. Step 5: Solve for x
    x = 370,986,121/8,206
  6. Step 6: Final answer
    x = 45,209.13

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.