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Finding the Third Proportional to 5,528.25 and 12,142.41

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Solution

The third proportional to 5,528.25 and 12,142.41 is: 26,669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,528.25 : 12,142.41 = 12,142.41 : x
  2. Step 2: Convert to fraction form
    5,528.25/12,142.41 = 12,142.41/x
  3. Step 3: Cross multiply
    5,528.25x = 12,142.41 × 12,142.41
  4. Step 4: Simplify right side
    5,528.25x = 147,438,029.54
  5. Step 5: Solve for x
    x = 147,438,029.54/5,528.25
  6. Step 6: Final answer
    x = 26,669.93

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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.