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Finding the Third Proportional to 20,764 and 31,916

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Solution

The third proportional to 20,764 and 31,916 is: 49,057.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,764 : 31,916 = 31,916 : x
  2. Step 2: Convert to fraction form
    20,764/31,916 = 31,916/x
  3. Step 3: Cross multiply
    20,764x = 31,916 × 31,916
  4. Step 4: Simplify right side
    20,764x = 1,018,631,056
  5. Step 5: Solve for x
    x = 1,018,631,056/20,764
  6. Step 6: Final answer
    x = 49,057.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.