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Finding the Third Proportional to 11,724 and 17,394

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Solution

The third proportional to 11,724 and 17,394 is: 25,806.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,724 : 17,394 = 17,394 : x
  2. Step 2: Convert to fraction form
    11,724/17,394 = 17,394/x
  3. Step 3: Cross multiply
    11,724x = 17,394 × 17,394
  4. Step 4: Simplify right side
    11,724x = 302,551,236
  5. Step 5: Solve for x
    x = 302,551,236/11,724
  6. Step 6: Final answer
    x = 25,806.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.