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Finding the Third Proportional to 41,882 and 87,895

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Solution

The third proportional to 41,882 and 87,895 is: 184,459.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,882 : 87,895 = 87,895 : x
  2. Step 2: Convert to fraction form
    41,882/87,895 = 87,895/x
  3. Step 3: Cross multiply
    41,882x = 87,895 × 87,895
  4. Step 4: Simplify right side
    41,882x = 7,725,531,025
  5. Step 5: Solve for x
    x = 7,725,531,025/41,882
  6. Step 6: Final answer
    x = 184,459.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.