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Finding the Third Proportional to 35,379.28 and 77,319.56

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Solution

The third proportional to 35,379.28 and 77,319.56 is: 168,977.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,379.28 : 77,319.56 = 77,319.56 : x
  2. Step 2: Convert to fraction form
    35,379.28/77,319.56 = 77,319.56/x
  3. Step 3: Cross multiply
    35,379.28x = 77,319.56 × 77,319.56
  4. Step 4: Simplify right side
    35,379.28x = 5,978,314,745.19
  5. Step 5: Solve for x
    x = 5,978,314,745.19/35,379.28
  6. Step 6: Final answer
    x = 168,977.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.