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Finding the Third Proportional to 19,891.69 and 42,896.81

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Solution

The third proportional to 19,891.69 and 42,896.81 is: 92,507.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,891.69 : 42,896.81 = 42,896.81 : x
  2. Step 2: Convert to fraction form
    19,891.69/42,896.81 = 42,896.81/x
  3. Step 3: Cross multiply
    19,891.69x = 42,896.81 × 42,896.81
  4. Step 4: Simplify right side
    19,891.69x = 1,840,136,522.66
  5. Step 5: Solve for x
    x = 1,840,136,522.66/19,891.69
  6. Step 6: Final answer
    x = 92,507.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.