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Finding the Third Proportional to 36,579 and 49,035

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Solution

The third proportional to 36,579 and 49,035 is: 65,732.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,579 : 49,035 = 49,035 : x
  2. Step 2: Convert to fraction form
    36,579/49,035 = 49,035/x
  3. Step 3: Cross multiply
    36,579x = 49,035 × 49,035
  4. Step 4: Simplify right side
    36,579x = 2,404,431,225
  5. Step 5: Solve for x
    x = 2,404,431,225/36,579
  6. Step 6: Final answer
    x = 65,732.56

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.