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Finding the Third Proportional to 36,291 and 54,983

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Solution

The third proportional to 36,291 and 54,983 is: 83,302.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,291 : 54,983 = 54,983 : x
  2. Step 2: Convert to fraction form
    36,291/54,983 = 54,983/x
  3. Step 3: Cross multiply
    36,291x = 54,983 × 54,983
  4. Step 4: Simplify right side
    36,291x = 3,023,130,289
  5. Step 5: Solve for x
    x = 3,023,130,289/36,291
  6. Step 6: Final answer
    x = 83,302.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.