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Finding the Third Proportional to 19,839.62 and 42,716.27

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Solution

The third proportional to 19,839.62 and 42,716.27 is: 91,971.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,839.62 : 42,716.27 = 42,716.27 : x
  2. Step 2: Convert to fraction form
    19,839.62/42,716.27 = 42,716.27/x
  3. Step 3: Cross multiply
    19,839.62x = 42,716.27 × 42,716.27
  4. Step 4: Simplify right side
    19,839.62x = 1,824,679,515.81
  5. Step 5: Solve for x
    x = 1,824,679,515.81/19,839.62
  6. Step 6: Final answer
    x = 91,971.49

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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.