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Finding the Third Proportional to 16,949.25 and 26,456.63

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Solution

The third proportional to 16,949.25 and 26,456.63 is: 41,296.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,949.25 : 26,456.63 = 26,456.63 : x
  2. Step 2: Convert to fraction form
    16,949.25/26,456.63 = 26,456.63/x
  3. Step 3: Cross multiply
    16,949.25x = 26,456.63 × 26,456.63
  4. Step 4: Simplify right side
    16,949.25x = 699,953,006.39
  5. Step 5: Solve for x
    x = 699,953,006.39/16,949.25
  6. Step 6: Final answer
    x = 41,296.99

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.