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Finding the Third Proportional to 31,855 and 50,607.56

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Solution

The third proportional to 31,855 and 50,607.56 is: 80,399.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,855 : 50,607.56 = 50,607.56 : x
  2. Step 2: Convert to fraction form
    31,855/50,607.56 = 50,607.56/x
  3. Step 3: Cross multiply
    31,855x = 50,607.56 × 50,607.56
  4. Step 4: Simplify right side
    31,855x = 2,561,125,382.19
  5. Step 5: Solve for x
    x = 2,561,125,382.19/31,855
  6. Step 6: Final answer
    x = 80,399.48

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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.