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Finding the Third Proportional to 36,291 and 57,786

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Solution

The third proportional to 36,291 and 57,786 is: 92,012.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,291 : 57,786 = 57,786 : x
  2. Step 2: Convert to fraction form
    36,291/57,786 = 57,786/x
  3. Step 3: Cross multiply
    36,291x = 57,786 × 57,786
  4. Step 4: Simplify right side
    36,291x = 3,339,221,796
  5. Step 5: Solve for x
    x = 3,339,221,796/36,291
  6. Step 6: Final answer
    x = 92,012.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.