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Finding the Third Proportional to 20,758 and 31,907

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Solution

The third proportional to 20,758 and 31,907 is: 49,044.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,758 : 31,907 = 31,907 : x
  2. Step 2: Convert to fraction form
    20,758/31,907 = 31,907/x
  3. Step 3: Cross multiply
    20,758x = 31,907 × 31,907
  4. Step 4: Simplify right side
    20,758x = 1,018,056,649
  5. Step 5: Solve for x
    x = 1,018,056,649/20,758
  6. Step 6: Final answer
    x = 49,044.06

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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.