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Finding the Third Proportional to 9,498 and 13,682

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Solution

The third proportional to 9,498 and 13,682 is: 19,709.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498 : 13,682 = 13,682 : x
  2. Step 2: Convert to fraction form
    9,498/13,682 = 13,682/x
  3. Step 3: Cross multiply
    9,498x = 13,682 × 13,682
  4. Step 4: Simplify right side
    9,498x = 187,197,124
  5. Step 5: Solve for x
    x = 187,197,124/9,498
  6. Step 6: Final answer
    x = 19,709.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.