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Finding the Third Proportional to 9,542.60 and 14,028.82

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Solution

The third proportional to 9,542.60 and 14,028.82 is: 20,624.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.60 : 14,028.82 = 14,028.82 : x
  2. Step 2: Convert to fraction form
    9,542.60/14,028.82 = 14,028.82/x
  3. Step 3: Cross multiply
    9,542.60x = 14,028.82 × 14,028.82
  4. Step 4: Simplify right side
    9,542.60x = 196,807,799.36
  5. Step 5: Solve for x
    x = 196,807,799.36/9,542.60
  6. Step 6: Final answer
    x = 20,624.12

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.