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Finding the Third Proportional to 11,151.84 and 16,113.09

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Solution

The third proportional to 11,151.84 and 16,113.09 is: 23,281.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,151.84 : 16,113.09 = 16,113.09 : x
  2. Step 2: Convert to fraction form
    11,151.84/16,113.09 = 16,113.09/x
  3. Step 3: Cross multiply
    11,151.84x = 16,113.09 × 16,113.09
  4. Step 4: Simplify right side
    11,151.84x = 259,631,790.20
  5. Step 5: Solve for x
    x = 259,631,790.20/11,151.84
  6. Step 6: Final answer
    x = 23,281.51

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.