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Finding the Third Proportional to 31,873 and 41,905

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Solution

The third proportional to 31,873 and 41,905 is: 55,094.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,873 : 41,905 = 41,905 : x
  2. Step 2: Convert to fraction form
    31,873/41,905 = 41,905/x
  3. Step 3: Cross multiply
    31,873x = 41,905 × 41,905
  4. Step 4: Simplify right side
    31,873x = 1,756,029,025
  5. Step 5: Solve for x
    x = 1,756,029,025/31,873
  6. Step 6: Final answer
    x = 55,094.56

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.