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Finding the Third Proportional to 19,234.88 and 43,408.69

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Solution

The third proportional to 19,234.88 and 43,408.69 is: 97,963.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,234.88 : 43,408.69 = 43,408.69 : x
  2. Step 2: Convert to fraction form
    19,234.88/43,408.69 = 43,408.69/x
  3. Step 3: Cross multiply
    19,234.88x = 43,408.69 × 43,408.69
  4. Step 4: Simplify right side
    19,234.88x = 1,884,314,150.47
  5. Step 5: Solve for x
    x = 1,884,314,150.47/19,234.88
  6. Step 6: Final answer
    x = 97,963.42

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.