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Finding the Third Proportional to 17,154 and 27,395

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Solution

The third proportional to 17,154 and 27,395 is: 43,749.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,154 : 27,395 = 27,395 : x
  2. Step 2: Convert to fraction form
    17,154/27,395 = 27,395/x
  3. Step 3: Cross multiply
    17,154x = 27,395 × 27,395
  4. Step 4: Simplify right side
    17,154x = 750,486,025
  5. Step 5: Solve for x
    x = 750,486,025/17,154
  6. Step 6: Final answer
    x = 43,749.91

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.