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Finding the Third Proportional to 41,731 and 62,967

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Solution

The third proportional to 41,731 and 62,967 is: 95,009.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,731 : 62,967 = 62,967 : x
  2. Step 2: Convert to fraction form
    41,731/62,967 = 62,967/x
  3. Step 3: Cross multiply
    41,731x = 62,967 × 62,967
  4. Step 4: Simplify right side
    41,731x = 3,964,843,089
  5. Step 5: Solve for x
    x = 3,964,843,089/41,731
  6. Step 6: Final answer
    x = 95,009.54

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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.