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Finding the Third Proportional to 26,206.03 and 34,914.80

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Solution

The third proportional to 26,206.03 and 34,914.80 is: 46,517.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,206.03 : 34,914.80 = 34,914.80 : x
  2. Step 2: Convert to fraction form
    26,206.03/34,914.80 = 34,914.80/x
  3. Step 3: Cross multiply
    26,206.03x = 34,914.80 × 34,914.80
  4. Step 4: Simplify right side
    26,206.03x = 1,219,043,040.82
  5. Step 5: Solve for x
    x = 1,219,043,040.82/26,206.03
  6. Step 6: Final answer
    x = 46,517.65

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.