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Finding the Third Proportional to 7,566 and 17,394

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Solution

The third proportional to 7,566 and 17,394 is: 39,988.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566 : 17,394 = 17,394 : x
  2. Step 2: Convert to fraction form
    7,566/17,394 = 17,394/x
  3. Step 3: Cross multiply
    7,566x = 17,394 × 17,394
  4. Step 4: Simplify right side
    7,566x = 302,551,236
  5. Step 5: Solve for x
    x = 302,551,236/7,566
  6. Step 6: Final answer
    x = 39,988.27

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.