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Finding the Third Proportional to 36,062 and 55,983

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Solution

The third proportional to 36,062 and 55,983 is: 86,908.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,062 : 55,983 = 55,983 : x
  2. Step 2: Convert to fraction form
    36,062/55,983 = 55,983/x
  3. Step 3: Cross multiply
    36,062x = 55,983 × 55,983
  4. Step 4: Simplify right side
    36,062x = 3,134,096,289
  5. Step 5: Solve for x
    x = 3,134,096,289/36,062
  6. Step 6: Final answer
    x = 86,908.55

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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.