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Finding the Third Proportional to 32,433 and 50,081

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Solution

The third proportional to 32,433 and 50,081 is: 77,331.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,433 : 50,081 = 50,081 : x
  2. Step 2: Convert to fraction form
    32,433/50,081 = 50,081/x
  3. Step 3: Cross multiply
    32,433x = 50,081 × 50,081
  4. Step 4: Simplify right side
    32,433x = 2,508,106,561
  5. Step 5: Solve for x
    x = 2,508,106,561/32,433
  6. Step 6: Final answer
    x = 77,331.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.