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Finding the Third Proportional to 1,539 and 3,546

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Solution

The third proportional to 1,539 and 3,546 is: 8,170.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539 : 3,546 = 3,546 : x
  2. Step 2: Convert to fraction form
    1,539/3,546 = 3,546/x
  3. Step 3: Cross multiply
    1,539x = 3,546 × 3,546
  4. Step 4: Simplify right side
    1,539x = 12,574,116
  5. Step 5: Solve for x
    x = 12,574,116/1,539
  6. Step 6: Final answer
    x = 8,170.32

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.