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Finding the Third Proportional to 11,084 and 17,294

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Solution

The third proportional to 11,084 and 17,294 is: 26,983.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,084 : 17,294 = 17,294 : x
  2. Step 2: Convert to fraction form
    11,084/17,294 = 17,294/x
  3. Step 3: Cross multiply
    11,084x = 17,294 × 17,294
  4. Step 4: Simplify right side
    11,084x = 299,082,436
  5. Step 5: Solve for x
    x = 299,082,436/11,084
  6. Step 6: Final answer
    x = 26,983.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.