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Finding the Third Proportional to 11,640 and 17,514

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Solution

The third proportional to 11,640 and 17,514 is: 26,352.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640 : 17,514 = 17,514 : x
  2. Step 2: Convert to fraction form
    11,640/17,514 = 17,514/x
  3. Step 3: Cross multiply
    11,640x = 17,514 × 17,514
  4. Step 4: Simplify right side
    11,640x = 306,740,196
  5. Step 5: Solve for x
    x = 306,740,196/11,640
  6. Step 6: Final answer
    x = 26,352.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.