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Finding the Third Proportional to 3,186 and 4,320

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Solution

The third proportional to 3,186 and 4,320 is: 5,857.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186 : 4,320 = 4,320 : x
  2. Step 2: Convert to fraction form
    3,186/4,320 = 4,320/x
  3. Step 3: Cross multiply
    3,186x = 4,320 × 4,320
  4. Step 4: Simplify right side
    3,186x = 18,662,400
  5. Step 5: Solve for x
    x = 18,662,400/3,186
  6. Step 6: Final answer
    x = 5,857.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.