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Finding the Third Proportional to 26,646.75 and 41,063.25

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Solution

The third proportional to 26,646.75 and 41,063.25 is: 63,279.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,646.75 : 41,063.25 = 41,063.25 : x
  2. Step 2: Convert to fraction form
    26,646.75/41,063.25 = 41,063.25/x
  3. Step 3: Cross multiply
    26,646.75x = 41,063.25 × 41,063.25
  4. Step 4: Simplify right side
    26,646.75x = 1,686,190,500.56
  5. Step 5: Solve for x
    x = 1,686,190,500.56/26,646.75
  6. Step 6: Final answer
    x = 63,279.41

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.