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Finding the Third Proportional to 1,086 and 1,639

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Solution

The third proportional to 1,086 and 1,639 is: 2,473.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086 : 1,639 = 1,639 : x
  2. Step 2: Convert to fraction form
    1,086/1,639 = 1,639/x
  3. Step 3: Cross multiply
    1,086x = 1,639 × 1,639
  4. Step 4: Simplify right side
    1,086x = 2,686,321
  5. Step 5: Solve for x
    x = 2,686,321/1,086
  6. Step 6: Final answer
    x = 2,473.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.