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Finding the Third Proportional to 2,186 and 4,510

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Solution

The third proportional to 2,186 and 4,510 is: 9,304.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186 : 4,510 = 4,510 : x
  2. Step 2: Convert to fraction form
    2,186/4,510 = 4,510/x
  3. Step 3: Cross multiply
    2,186x = 4,510 × 4,510
  4. Step 4: Simplify right side
    2,186x = 20,340,100
  5. Step 5: Solve for x
    x = 20,340,100/2,186
  6. Step 6: Final answer
    x = 9,304.71

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.