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Finding the Third Proportional to 11,514 and 16,578

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Solution

The third proportional to 11,514 and 16,578 is: 23,869.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,514 : 16,578 = 16,578 : x
  2. Step 2: Convert to fraction form
    11,514/16,578 = 16,578/x
  3. Step 3: Cross multiply
    11,514x = 16,578 × 16,578
  4. Step 4: Simplify right side
    11,514x = 274,830,084
  5. Step 5: Solve for x
    x = 274,830,084/11,514
  6. Step 6: Final answer
    x = 23,869.21

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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.