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Finding the Third Proportional to 36,614 and 55,623

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Solution

The third proportional to 36,614 and 55,623 is: 84,500.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,614 : 55,623 = 55,623 : x
  2. Step 2: Convert to fraction form
    36,614/55,623 = 55,623/x
  3. Step 3: Cross multiply
    36,614x = 55,623 × 55,623
  4. Step 4: Simplify right side
    36,614x = 3,093,918,129
  5. Step 5: Solve for x
    x = 3,093,918,129/36,614
  6. Step 6: Final answer
    x = 84,500.96

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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.