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Finding the Third Proportional to 41,916 and 63,165

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Solution

The third proportional to 41,916 and 63,165 is: 95,186.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,916 : 63,165 = 63,165 : x
  2. Step 2: Convert to fraction form
    41,916/63,165 = 63,165/x
  3. Step 3: Cross multiply
    41,916x = 63,165 × 63,165
  4. Step 4: Simplify right side
    41,916x = 3,989,817,225
  5. Step 5: Solve for x
    x = 3,989,817,225/41,916
  6. Step 6: Final answer
    x = 95,186.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.