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Finding the Third Proportional to 11,354 and 17,395

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Solution

The third proportional to 11,354 and 17,395 is: 26,650.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,354 : 17,395 = 17,395 : x
  2. Step 2: Convert to fraction form
    11,354/17,395 = 17,395/x
  3. Step 3: Cross multiply
    11,354x = 17,395 × 17,395
  4. Step 4: Simplify right side
    11,354x = 302,586,025
  5. Step 5: Solve for x
    x = 302,586,025/11,354
  6. Step 6: Final answer
    x = 26,650.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.