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Finding the Third Proportional to 16,206 and 26,901

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Solution

The third proportional to 16,206 and 26,901 is: 44,654.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206 : 26,901 = 26,901 : x
  2. Step 2: Convert to fraction form
    16,206/26,901 = 26,901/x
  3. Step 3: Cross multiply
    16,206x = 26,901 × 26,901
  4. Step 4: Simplify right side
    16,206x = 723,663,801
  5. Step 5: Solve for x
    x = 723,663,801/16,206
  6. Step 6: Final answer
    x = 44,654.07

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.