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Finding the Third Proportional to 13,233.38 and 19,232.44

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Solution

The third proportional to 13,233.38 and 19,232.44 is: 27,951.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,233.38 : 19,232.44 = 19,232.44 : x
  2. Step 2: Convert to fraction form
    13,233.38/19,232.44 = 19,232.44/x
  3. Step 3: Cross multiply
    13,233.38x = 19,232.44 × 19,232.44
  4. Step 4: Simplify right side
    13,233.38x = 369,886,652.19
  5. Step 5: Solve for x
    x = 369,886,652.19/13,233.38
  6. Step 6: Final answer
    x = 27,951.04

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.