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Finding the Third Proportional to 36,646 and 55,698

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Solution

The third proportional to 36,646 and 55,698 is: 84,655.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,646 : 55,698 = 55,698 : x
  2. Step 2: Convert to fraction form
    36,646/55,698 = 55,698/x
  3. Step 3: Cross multiply
    36,646x = 55,698 × 55,698
  4. Step 4: Simplify right side
    36,646x = 3,102,267,204
  5. Step 5: Solve for x
    x = 3,102,267,204/36,646
  6. Step 6: Final answer
    x = 84,655.00

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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.