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Finding the Third Proportional to 9,668 and 13,510

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Solution

The third proportional to 9,668 and 13,510 is: 18,878.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668 : 13,510 = 13,510 : x
  2. Step 2: Convert to fraction form
    9,668/13,510 = 13,510/x
  3. Step 3: Cross multiply
    9,668x = 13,510 × 13,510
  4. Step 4: Simplify right side
    9,668x = 182,520,100
  5. Step 5: Solve for x
    x = 182,520,100/9,668
  6. Step 6: Final answer
    x = 18,878.79

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.