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Finding the Third Proportional to 41,882 and 64,167

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Solution

The third proportional to 41,882 and 64,167 is: 98,309.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,882 : 64,167 = 64,167 : x
  2. Step 2: Convert to fraction form
    41,882/64,167 = 64,167/x
  3. Step 3: Cross multiply
    41,882x = 64,167 × 64,167
  4. Step 4: Simplify right side
    41,882x = 4,117,403,889
  5. Step 5: Solve for x
    x = 4,117,403,889/41,882
  6. Step 6: Final answer
    x = 98,309.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.