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Finding the Third Proportional to 5,864 and 14,340

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Solution

The third proportional to 5,864 and 14,340 is: 35,067.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864 : 14,340 = 14,340 : x
  2. Step 2: Convert to fraction form
    5,864/14,340 = 14,340/x
  3. Step 3: Cross multiply
    5,864x = 14,340 × 14,340
  4. Step 4: Simplify right side
    5,864x = 205,635,600
  5. Step 5: Solve for x
    x = 205,635,600/5,864
  6. Step 6: Final answer
    x = 35,067.46

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.