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Finding the Third Proportional to 39,923.25 and 61,806.75

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Solution

The third proportional to 39,923.25 and 61,806.75 is: 95,685.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,923.25 : 61,806.75 = 61,806.75 : x
  2. Step 2: Convert to fraction form
    39,923.25/61,806.75 = 61,806.75/x
  3. Step 3: Cross multiply
    39,923.25x = 61,806.75 × 61,806.75
  4. Step 4: Simplify right side
    39,923.25x = 3,820,074,345.56
  5. Step 5: Solve for x
    x = 3,820,074,345.56/39,923.25
  6. Step 6: Final answer
    x = 95,685.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.