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Finding the Third Proportional to 864 and 1,539

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Solution

The third proportional to 864 and 1,539 is: 2,741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    864 : 1,539 = 1,539 : x
  2. Step 2: Convert to fraction form
    864/1,539 = 1,539/x
  3. Step 3: Cross multiply
    864x = 1,539 × 1,539
  4. Step 4: Simplify right side
    864x = 2,368,521
  5. Step 5: Solve for x
    x = 2,368,521/864
  6. Step 6: Final answer
    x = 2,741.34

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.