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Finding the Third Proportional to 38,874.38 and 104,721.38

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Solution

The third proportional to 38,874.38 and 104,721.38 is: 282,102.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,874.38 : 104,721.38 = 104,721.38 : x
  2. Step 2: Convert to fraction form
    38,874.38/104,721.38 = 104,721.38/x
  3. Step 3: Cross multiply
    38,874.38x = 104,721.38 × 104,721.38
  4. Step 4: Simplify right side
    38,874.38x = 10,966,566,381.89
  5. Step 5: Solve for x
    x = 10,966,566,381.89/38,874.38
  6. Step 6: Final answer
    x = 282,102.71

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.