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Finding the Third Proportional to 11,151 and 14,873

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Solution

The third proportional to 11,151 and 14,873 is: 19,837.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,151 : 14,873 = 14,873 : x
  2. Step 2: Convert to fraction form
    11,151/14,873 = 14,873/x
  3. Step 3: Cross multiply
    11,151x = 14,873 × 14,873
  4. Step 4: Simplify right side
    11,151x = 221,206,129
  5. Step 5: Solve for x
    x = 221,206,129/11,151
  6. Step 6: Final answer
    x = 19,837.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.