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Finding the Third Proportional to 36,042 and 57,018

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Solution

The third proportional to 36,042 and 57,018 is: 90,201.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,042 : 57,018 = 57,018 : x
  2. Step 2: Convert to fraction form
    36,042/57,018 = 57,018/x
  3. Step 3: Cross multiply
    36,042x = 57,018 × 57,018
  4. Step 4: Simplify right side
    36,042x = 3,251,052,324
  5. Step 5: Solve for x
    x = 3,251,052,324/36,042
  6. Step 6: Final answer
    x = 90,201.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.