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Finding the Third Proportional to 7,911 and 17,401

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Solution

The third proportional to 7,911 and 17,401 is: 38,275.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911 : 17,401 = 17,401 : x
  2. Step 2: Convert to fraction form
    7,911/17,401 = 17,401/x
  3. Step 3: Cross multiply
    7,911x = 17,401 × 17,401
  4. Step 4: Simplify right side
    7,911x = 302,794,801
  5. Step 5: Solve for x
    x = 302,794,801/7,911
  6. Step 6: Final answer
    x = 38,275.16

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.