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Finding the Third Proportional to 11,266 and 15,899

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Solution

The third proportional to 11,266 and 15,899 is: 22,437.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,266 : 15,899 = 15,899 : x
  2. Step 2: Convert to fraction form
    11,266/15,899 = 15,899/x
  3. Step 3: Cross multiply
    11,266x = 15,899 × 15,899
  4. Step 4: Simplify right side
    11,266x = 252,778,201
  5. Step 5: Solve for x
    x = 252,778,201/11,266
  6. Step 6: Final answer
    x = 22,437.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.