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Finding the Third Proportional to 41,944 and 64,376

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Solution

The third proportional to 41,944 and 64,376 is: 98,804.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,944 : 64,376 = 64,376 : x
  2. Step 2: Convert to fraction form
    41,944/64,376 = 64,376/x
  3. Step 3: Cross multiply
    41,944x = 64,376 × 64,376
  4. Step 4: Simplify right side
    41,944x = 4,144,269,376
  5. Step 5: Solve for x
    x = 4,144,269,376/41,944
  6. Step 6: Final answer
    x = 98,804.82

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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.