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Finding the Third Proportional to 11,142 and 16,715.25

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Solution

The third proportional to 11,142 and 16,715.25 is: 25,076.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142 : 16,715.25 = 16,715.25 : x
  2. Step 2: Convert to fraction form
    11,142/16,715.25 = 16,715.25/x
  3. Step 3: Cross multiply
    11,142x = 16,715.25 × 16,715.25
  4. Step 4: Simplify right side
    11,142x = 279,399,582.56
  5. Step 5: Solve for x
    x = 279,399,582.56/11,142
  6. Step 6: Final answer
    x = 25,076.25

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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.