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Finding the Third Proportional to 55,965.75 and 77,568.75

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Solution

The third proportional to 55,965.75 and 77,568.75 is: 107,510.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,965.75 : 77,568.75 = 77,568.75 : x
  2. Step 2: Convert to fraction form
    55,965.75/77,568.75 = 77,568.75/x
  3. Step 3: Cross multiply
    55,965.75x = 77,568.75 × 77,568.75
  4. Step 4: Simplify right side
    55,965.75x = 6,016,910,976.56
  5. Step 5: Solve for x
    x = 6,016,910,976.56/55,965.75
  6. Step 6: Final answer
    x = 107,510.59

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.