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Finding the Third Proportional to 13,494.38 and 21,121.88

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Solution

The third proportional to 13,494.38 and 21,121.88 is: 33,060.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.38 : 21,121.88 = 21,121.88 : x
  2. Step 2: Convert to fraction form
    13,494.38/21,121.88 = 21,121.88/x
  3. Step 3: Cross multiply
    13,494.38x = 21,121.88 × 21,121.88
  4. Step 4: Simplify right side
    13,494.38x = 446,133,603.52
  5. Step 5: Solve for x
    x = 446,133,603.52/13,494.38
  6. Step 6: Final answer
    x = 33,060.71

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.