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Finding the Third Proportional to 37,590 and 87,411

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Solution

The third proportional to 37,590 and 87,411 is: 203,263.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,590 : 87,411 = 87,411 : x
  2. Step 2: Convert to fraction form
    37,590/87,411 = 87,411/x
  3. Step 3: Cross multiply
    37,590x = 87,411 × 87,411
  4. Step 4: Simplify right side
    37,590x = 7,640,682,921
  5. Step 5: Solve for x
    x = 7,640,682,921/37,590
  6. Step 6: Final answer
    x = 203,263.71

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.