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Finding the Third Proportional to 18,206 and 28,949

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Solution

The third proportional to 18,206 and 28,949 is: 46,031.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,206 : 28,949 = 28,949 : x
  2. Step 2: Convert to fraction form
    18,206/28,949 = 28,949/x
  3. Step 3: Cross multiply
    18,206x = 28,949 × 28,949
  4. Step 4: Simplify right side
    18,206x = 838,044,601
  5. Step 5: Solve for x
    x = 838,044,601/18,206
  6. Step 6: Final answer
    x = 46,031.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.