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Finding the Third Proportional to 3,682 and 5,658

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Solution

The third proportional to 3,682 and 5,658 is: 8,694.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682 : 5,658 = 5,658 : x
  2. Step 2: Convert to fraction form
    3,682/5,658 = 5,658/x
  3. Step 3: Cross multiply
    3,682x = 5,658 × 5,658
  4. Step 4: Simplify right side
    3,682x = 32,012,964
  5. Step 5: Solve for x
    x = 32,012,964/3,682
  6. Step 6: Final answer
    x = 8,694.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.