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Finding the Third Proportional to 16,886 and 38,723

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Solution

The third proportional to 16,886 and 38,723 is: 88,799.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,886 : 38,723 = 38,723 : x
  2. Step 2: Convert to fraction form
    16,886/38,723 = 38,723/x
  3. Step 3: Cross multiply
    16,886x = 38,723 × 38,723
  4. Step 4: Simplify right side
    16,886x = 1,499,470,729
  5. Step 5: Solve for x
    x = 1,499,470,729/16,886
  6. Step 6: Final answer
    x = 88,799.64

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.