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Finding the Third Proportional to 36,022 and 57,878

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Solution

The third proportional to 36,022 and 57,878 is: 92,994.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,022 : 57,878 = 57,878 : x
  2. Step 2: Convert to fraction form
    36,022/57,878 = 57,878/x
  3. Step 3: Cross multiply
    36,022x = 57,878 × 57,878
  4. Step 4: Simplify right side
    36,022x = 3,349,862,884
  5. Step 5: Solve for x
    x = 3,349,862,884/36,022
  6. Step 6: Final answer
    x = 92,994.92

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.