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Finding the Third Proportional to 36,858.38 and 55,971

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Solution

The third proportional to 36,858.38 and 55,971 is: 84,994.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,858.38 : 55,971 = 55,971 : x
  2. Step 2: Convert to fraction form
    36,858.38/55,971 = 55,971/x
  3. Step 3: Cross multiply
    36,858.38x = 55,971 × 55,971
  4. Step 4: Simplify right side
    36,858.38x = 3,132,752,841
  5. Step 5: Solve for x
    x = 3,132,752,841/36,858.38
  6. Step 6: Final answer
    x = 84,994.33

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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.