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Finding the Third Proportional to 36,855 and 55,965.94

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Solution

The third proportional to 36,855 and 55,965.94 is: 84,986.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,855 : 55,965.94 = 55,965.94 : x
  2. Step 2: Convert to fraction form
    36,855/55,965.94 = 55,965.94/x
  3. Step 3: Cross multiply
    36,855x = 55,965.94 × 55,965.94
  4. Step 4: Simplify right side
    36,855x = 3,132,186,160.25
  5. Step 5: Solve for x
    x = 3,132,186,160.25/36,855
  6. Step 6: Final answer
    x = 84,986.74

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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.