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Finding the Third Proportional to 11,066.25 and 16,641.38

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Solution

The third proportional to 11,066.25 and 16,641.38 is: 25,025.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,066.25 : 16,641.38 = 16,641.38 : x
  2. Step 2: Convert to fraction form
    11,066.25/16,641.38 = 16,641.38/x
  3. Step 3: Cross multiply
    11,066.25x = 16,641.38 × 16,641.38
  4. Step 4: Simplify right side
    11,066.25x = 276,935,361.89
  5. Step 5: Solve for x
    x = 276,935,361.89/11,066.25
  6. Step 6: Final answer
    x = 25,025.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.