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Finding the Third Proportional to 1,566.21 and 3,286.20

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Solution

The third proportional to 1,566.21 and 3,286.20 is: 6,895.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.21 : 3,286.20 = 3,286.20 : x
  2. Step 2: Convert to fraction form
    1,566.21/3,286.20 = 3,286.20/x
  3. Step 3: Cross multiply
    1,566.21x = 3,286.20 × 3,286.20
  4. Step 4: Simplify right side
    1,566.21x = 10,799,079.63
  5. Step 5: Solve for x
    x = 10,799,079.63/1,566.21
  6. Step 6: Final answer
    x = 6,895.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.