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Finding the Third Proportional to 19,546.31 and 29,866.22

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Solution

The third proportional to 19,546.31 and 29,866.22 is: 45,634.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,546.31 : 29,866.22 = 29,866.22 : x
  2. Step 2: Convert to fraction form
    19,546.31/29,866.22 = 29,866.22/x
  3. Step 3: Cross multiply
    19,546.31x = 29,866.22 × 29,866.22
  4. Step 4: Simplify right side
    19,546.31x = 891,991,022.42
  5. Step 5: Solve for x
    x = 891,991,022.42/19,546.31
  6. Step 6: Final answer
    x = 45,634.75

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.