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Finding the Third Proportional to 11,151 and 16,650.56

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Solution

The third proportional to 11,151 and 16,650.56 is: 24,862.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,151 : 16,650.56 = 16,650.56 : x
  2. Step 2: Convert to fraction form
    11,151/16,650.56 = 16,650.56/x
  3. Step 3: Cross multiply
    11,151x = 16,650.56 × 16,650.56
  4. Step 4: Simplify right side
    11,151x = 277,241,231.57
  5. Step 5: Solve for x
    x = 277,241,231.57/11,151
  6. Step 6: Final answer
    x = 24,862.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.