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Finding the Third Proportional to 20,095.88 and 27,537.75

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Solution

The third proportional to 20,095.88 and 27,537.75 is: 37,735.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,095.88 : 27,537.75 = 27,537.75 : x
  2. Step 2: Convert to fraction form
    20,095.88/27,537.75 = 27,537.75/x
  3. Step 3: Cross multiply
    20,095.88x = 27,537.75 × 27,537.75
  4. Step 4: Simplify right side
    20,095.88x = 758,327,675.06
  5. Step 5: Solve for x
    x = 758,327,675.06/20,095.88
  6. Step 6: Final answer
    x = 37,735.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.