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Finding the Third Proportional to 17,084 and 26,514

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Solution

The third proportional to 17,084 and 26,514 is: 41,149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,084 : 26,514 = 26,514 : x
  2. Step 2: Convert to fraction form
    17,084/26,514 = 26,514/x
  3. Step 3: Cross multiply
    17,084x = 26,514 × 26,514
  4. Step 4: Simplify right side
    17,084x = 702,992,196
  5. Step 5: Solve for x
    x = 702,992,196/17,084
  6. Step 6: Final answer
    x = 41,149.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.