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Finding the Third Proportional to 5,610.94 and 13,557.38

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Solution

The third proportional to 5,610.94 and 13,557.38 is: 32,757.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,610.94 : 13,557.38 = 13,557.38 : x
  2. Step 2: Convert to fraction form
    5,610.94/13,557.38 = 13,557.38/x
  3. Step 3: Cross multiply
    5,610.94x = 13,557.38 × 13,557.38
  4. Step 4: Simplify right side
    5,610.94x = 183,802,416.89
  5. Step 5: Solve for x
    x = 183,802,416.89/5,610.94
  6. Step 6: Final answer
    x = 32,757.88

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.