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Finding the Third Proportional to 36,431 and 57,928

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Solution

The third proportional to 36,431 and 57,928 is: 92,109.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,431 : 57,928 = 57,928 : x
  2. Step 2: Convert to fraction form
    36,431/57,928 = 57,928/x
  3. Step 3: Cross multiply
    36,431x = 57,928 × 57,928
  4. Step 4: Simplify right side
    36,431x = 3,355,653,184
  5. Step 5: Solve for x
    x = 3,355,653,184/36,431
  6. Step 6: Final answer
    x = 92,109.83

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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.