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Finding the Third Proportional to 20,625.75 and 31,991.63

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Solution

The third proportional to 20,625.75 and 31,991.63 is: 49,620.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,625.75 : 31,991.63 = 31,991.63 : x
  2. Step 2: Convert to fraction form
    20,625.75/31,991.63 = 31,991.63/x
  3. Step 3: Cross multiply
    20,625.75x = 31,991.63 × 31,991.63
  4. Step 4: Simplify right side
    20,625.75x = 1,023,464,070.14
  5. Step 5: Solve for x
    x = 1,023,464,070.14/20,625.75
  6. Step 6: Final answer
    x = 49,620.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.