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Finding the Third Proportional to 36,301 and 54,759

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Solution

The third proportional to 36,301 and 54,759 is: 82,602.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,301 : 54,759 = 54,759 : x
  2. Step 2: Convert to fraction form
    36,301/54,759 = 54,759/x
  3. Step 3: Cross multiply
    36,301x = 54,759 × 54,759
  4. Step 4: Simplify right side
    36,301x = 2,998,548,081
  5. Step 5: Solve for x
    x = 2,998,548,081/36,301
  6. Step 6: Final answer
    x = 82,602.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.