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Finding the Third Proportional to 36,877 and 54,860

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Solution

The third proportional to 36,877 and 54,860 is: 81,612.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,877 : 54,860 = 54,860 : x
  2. Step 2: Convert to fraction form
    36,877/54,860 = 54,860/x
  3. Step 3: Cross multiply
    36,877x = 54,860 × 54,860
  4. Step 4: Simplify right side
    36,877x = 3,009,619,600
  5. Step 5: Solve for x
    x = 3,009,619,600/36,877
  6. Step 6: Final answer
    x = 81,612.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.