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Finding the Third Proportional to 20,123 and 42,844.50

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Solution

The third proportional to 20,123 and 42,844.50 is: 91,221.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,123 : 42,844.50 = 42,844.50 : x
  2. Step 2: Convert to fraction form
    20,123/42,844.50 = 42,844.50/x
  3. Step 3: Cross multiply
    20,123x = 42,844.50 × 42,844.50
  4. Step 4: Simplify right side
    20,123x = 1,835,651,180.25
  5. Step 5: Solve for x
    x = 1,835,651,180.25/20,123
  6. Step 6: Final answer
    x = 91,221.55

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.