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Finding the Third Proportional to 40,981 and 65,163.75

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Solution

The third proportional to 40,981 and 65,163.75 is: 103,616.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,981 : 65,163.75 = 65,163.75 : x
  2. Step 2: Convert to fraction form
    40,981/65,163.75 = 65,163.75/x
  3. Step 3: Cross multiply
    40,981x = 65,163.75 × 65,163.75
  4. Step 4: Simplify right side
    40,981x = 4,246,314,314.06
  5. Step 5: Solve for x
    x = 4,246,314,314.06/40,981
  6. Step 6: Final answer
    x = 103,616.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.