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Finding the Third Proportional to 13,236.75 and 19,123.88

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Solution

The third proportional to 13,236.75 and 19,123.88 is: 27,629.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,236.75 : 19,123.88 = 19,123.88 : x
  2. Step 2: Convert to fraction form
    13,236.75/19,123.88 = 19,123.88/x
  3. Step 3: Cross multiply
    13,236.75x = 19,123.88 × 19,123.88
  4. Step 4: Simplify right side
    13,236.75x = 365,722,595.02
  5. Step 5: Solve for x
    x = 365,722,595.02/13,236.75
  6. Step 6: Final answer
    x = 27,629.33

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.