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Finding the Third Proportional to 13,542.75 and 19,922.25

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Solution

The third proportional to 13,542.75 and 19,922.25 is: 29,306.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,542.75 : 19,922.25 = 19,922.25 : x
  2. Step 2: Convert to fraction form
    13,542.75/19,922.25 = 19,922.25/x
  3. Step 3: Cross multiply
    13,542.75x = 19,922.25 × 19,922.25
  4. Step 4: Simplify right side
    13,542.75x = 396,896,045.06
  5. Step 5: Solve for x
    x = 396,896,045.06/13,542.75
  6. Step 6: Final answer
    x = 29,306.90

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.