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Finding the Third Proportional to 15,123 and 23,884.50

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Solution

The third proportional to 15,123 and 23,884.50 is: 37,721.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,123 : 23,884.50 = 23,884.50 : x
  2. Step 2: Convert to fraction form
    15,123/23,884.50 = 23,884.50/x
  3. Step 3: Cross multiply
    15,123x = 23,884.50 × 23,884.50
  4. Step 4: Simplify right side
    15,123x = 570,469,340.25
  5. Step 5: Solve for x
    x = 570,469,340.25/15,123
  6. Step 6: Final answer
    x = 37,721.97

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.