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Finding the Third Proportional to 19,589.38 and 29,383.88

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Solution

The third proportional to 19,589.38 and 29,383.88 is: 44,075.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,589.38 : 29,383.88 = 29,383.88 : x
  2. Step 2: Convert to fraction form
    19,589.38/29,383.88 = 29,383.88/x
  3. Step 3: Cross multiply
    19,589.38x = 29,383.88 × 29,383.88
  4. Step 4: Simplify right side
    19,589.38x = 863,412,110.02
  5. Step 5: Solve for x
    x = 863,412,110.02/19,589.38
  6. Step 6: Final answer
    x = 44,075.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.