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Finding the Third Proportional to 6,712 and 9,682

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Solution

The third proportional to 6,712 and 9,682 is: 13,966.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712 : 9,682 = 9,682 : x
  2. Step 2: Convert to fraction form
    6,712/9,682 = 9,682/x
  3. Step 3: Cross multiply
    6,712x = 9,682 × 9,682
  4. Step 4: Simplify right side
    6,712x = 93,741,124
  5. Step 5: Solve for x
    x = 93,741,124/6,712
  6. Step 6: Final answer
    x = 13,966.20

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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.