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Finding the Third Proportional to 26,705.25 and 41,514.75

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Solution

The third proportional to 26,705.25 and 41,514.75 is: 64,536.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,705.25 : 41,514.75 = 41,514.75 : x
  2. Step 2: Convert to fraction form
    26,705.25/41,514.75 = 41,514.75/x
  3. Step 3: Cross multiply
    26,705.25x = 41,514.75 × 41,514.75
  4. Step 4: Simplify right side
    26,705.25x = 1,723,474,467.56
  5. Step 5: Solve for x
    x = 1,723,474,467.56/26,705.25
  6. Step 6: Final answer
    x = 64,536.92

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.