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Finding the Third Proportional to 27,206 and 38,309

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Solution

The third proportional to 27,206 and 38,309 is: 53,943.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,206 : 38,309 = 38,309 : x
  2. Step 2: Convert to fraction form
    27,206/38,309 = 38,309/x
  3. Step 3: Cross multiply
    27,206x = 38,309 × 38,309
  4. Step 4: Simplify right side
    27,206x = 1,467,579,481
  5. Step 5: Solve for x
    x = 1,467,579,481/27,206
  6. Step 6: Final answer
    x = 53,943.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.