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Finding the Third Proportional to 36,291 and 57,029

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Solution

The third proportional to 36,291 and 57,029 is: 89,617.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,291 : 57,029 = 57,029 : x
  2. Step 2: Convert to fraction form
    36,291/57,029 = 57,029/x
  3. Step 3: Cross multiply
    36,291x = 57,029 × 57,029
  4. Step 4: Simplify right side
    36,291x = 3,252,306,841
  5. Step 5: Solve for x
    x = 3,252,306,841/36,291
  6. Step 6: Final answer
    x = 89,617.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.