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Finding the Third Proportional to 19,234.13 and 41,342.06

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Solution

The third proportional to 19,234.13 and 41,342.06 is: 88,861.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,234.13 : 41,342.06 = 41,342.06 : x
  2. Step 2: Convert to fraction form
    19,234.13/41,342.06 = 41,342.06/x
  3. Step 3: Cross multiply
    19,234.13x = 41,342.06 × 41,342.06
  4. Step 4: Simplify right side
    19,234.13x = 1,709,166,131.75
  5. Step 5: Solve for x
    x = 1,709,166,131.75/19,234.13
  6. Step 6: Final answer
    x = 88,861.13

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.