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Finding the Third Proportional to 26,745.75 and 42,063.75

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Solution

The third proportional to 26,745.75 and 42,063.75 is: 66,154.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,745.75 : 42,063.75 = 42,063.75 : x
  2. Step 2: Convert to fraction form
    26,745.75/42,063.75 = 42,063.75/x
  3. Step 3: Cross multiply
    26,745.75x = 42,063.75 × 42,063.75
  4. Step 4: Simplify right side
    26,745.75x = 1,769,359,064.06
  5. Step 5: Solve for x
    x = 1,769,359,064.06/26,745.75
  6. Step 6: Final answer
    x = 66,154.77

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.