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Finding the Third Proportional to 12,376.13 and 19,954.69

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Solution

The third proportional to 12,376.13 and 19,954.69 is: 32,174.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,376.13 : 19,954.69 = 19,954.69 : x
  2. Step 2: Convert to fraction form
    12,376.13/19,954.69 = 19,954.69/x
  3. Step 3: Cross multiply
    12,376.13x = 19,954.69 × 19,954.69
  4. Step 4: Simplify right side
    12,376.13x = 398,189,553.22
  5. Step 5: Solve for x
    x = 398,189,553.22/12,376.13
  6. Step 6: Final answer
    x = 32,174.01

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.