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Finding the Third Proportional to 11,521 and 14,992

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Solution

The third proportional to 11,521 and 14,992 is: 19,508.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,521 : 14,992 = 14,992 : x
  2. Step 2: Convert to fraction form
    11,521/14,992 = 14,992/x
  3. Step 3: Cross multiply
    11,521x = 14,992 × 14,992
  4. Step 4: Simplify right side
    11,521x = 224,760,064
  5. Step 5: Solve for x
    x = 224,760,064/11,521
  6. Step 6: Final answer
    x = 19,508.73

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.