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Finding the Third Proportional to 20,609.44 and 27,874.13

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Solution

The third proportional to 20,609.44 and 27,874.13 is: 37,699.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,609.44 : 27,874.13 = 27,874.13 : x
  2. Step 2: Convert to fraction form
    20,609.44/27,874.13 = 27,874.13/x
  3. Step 3: Cross multiply
    20,609.44x = 27,874.13 × 27,874.13
  4. Step 4: Simplify right side
    20,609.44x = 776,966,844.52
  5. Step 5: Solve for x
    x = 776,966,844.52/20,609.44
  6. Step 6: Final answer
    x = 37,699.57

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.