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Finding the Third Proportional to 41,176 and 62,816

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Solution

The third proportional to 41,176 and 62,816 is: 95,828.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,176 : 62,816 = 62,816 : x
  2. Step 2: Convert to fraction form
    41,176/62,816 = 62,816/x
  3. Step 3: Cross multiply
    41,176x = 62,816 × 62,816
  4. Step 4: Simplify right side
    41,176x = 3,945,849,856
  5. Step 5: Solve for x
    x = 3,945,849,856/41,176
  6. Step 6: Final answer
    x = 95,828.88

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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.