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Finding the Third Proportional to 41,916 and 64,334

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Solution

The third proportional to 41,916 and 64,334 is: 98,741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,916 : 64,334 = 64,334 : x
  2. Step 2: Convert to fraction form
    41,916/64,334 = 64,334/x
  3. Step 3: Cross multiply
    41,916x = 64,334 × 64,334
  4. Step 4: Simplify right side
    41,916x = 4,138,863,556
  5. Step 5: Solve for x
    x = 4,138,863,556/41,916
  6. Step 6: Final answer
    x = 98,741.85

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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.