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Finding the Third Proportional to 19,997.75 and 30,123

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Solution

The third proportional to 19,997.75 and 30,123 is: 45,374.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,997.75 : 30,123 = 30,123 : x
  2. Step 2: Convert to fraction form
    19,997.75/30,123 = 30,123/x
  3. Step 3: Cross multiply
    19,997.75x = 30,123 × 30,123
  4. Step 4: Simplify right side
    19,997.75x = 907,395,129
  5. Step 5: Solve for x
    x = 907,395,129/19,997.75
  6. Step 6: Final answer
    x = 45,374.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.