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Finding the Third Proportional to 20,993 and 31,652

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Solution

The third proportional to 20,993 and 31,652 is: 47,723.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,993 : 31,652 = 31,652 : x
  2. Step 2: Convert to fraction form
    20,993/31,652 = 31,652/x
  3. Step 3: Cross multiply
    20,993x = 31,652 × 31,652
  4. Step 4: Simplify right side
    20,993x = 1,001,849,104
  5. Step 5: Solve for x
    x = 1,001,849,104/20,993
  6. Step 6: Final answer
    x = 47,723.01

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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.