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Finding the Third Proportional to 20,144.95 and 31,093.03

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Solution

The third proportional to 20,144.95 and 31,093.03 is: 47,991.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,144.95 : 31,093.03 = 31,093.03 : x
  2. Step 2: Convert to fraction form
    20,144.95/31,093.03 = 31,093.03/x
  3. Step 3: Cross multiply
    20,144.95x = 31,093.03 × 31,093.03
  4. Step 4: Simplify right side
    20,144.95x = 966,776,592.31
  5. Step 5: Solve for x
    x = 966,776,592.31/20,144.95
  6. Step 6: Final answer
    x = 47,991.01

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