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Finding the Third Proportional to 27,537.75 and 59,073

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Solution

The third proportional to 27,537.75 and 59,073 is: 126,721.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,537.75 : 59,073 = 59,073 : x
  2. Step 2: Convert to fraction form
    27,537.75/59,073 = 59,073/x
  3. Step 3: Cross multiply
    27,537.75x = 59,073 × 59,073
  4. Step 4: Simplify right side
    27,537.75x = 3,489,619,329
  5. Step 5: Solve for x
    x = 3,489,619,329/27,537.75
  6. Step 6: Final answer
    x = 126,721.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.