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Finding the Third Proportional to 19,850.13 and 43,588.63

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Solution

The third proportional to 19,850.13 and 43,588.63 is: 95,715.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,850.13 : 43,588.63 = 43,588.63 : x
  2. Step 2: Convert to fraction form
    19,850.13/43,588.63 = 43,588.63/x
  3. Step 3: Cross multiply
    19,850.13x = 43,588.63 × 43,588.63
  4. Step 4: Simplify right side
    19,850.13x = 1,899,968,229.39
  5. Step 5: Solve for x
    x = 1,899,968,229.39/19,850.13
  6. Step 6: Final answer
    x = 95,715.68

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.