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Finding the Third Proportional to 2,170 and 4,686

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Solution

The third proportional to 2,170 and 4,686 is: 10,119.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170 : 4,686 = 4,686 : x
  2. Step 2: Convert to fraction form
    2,170/4,686 = 4,686/x
  3. Step 3: Cross multiply
    2,170x = 4,686 × 4,686
  4. Step 4: Simplify right side
    2,170x = 21,958,596
  5. Step 5: Solve for x
    x = 21,958,596/2,170
  6. Step 6: Final answer
    x = 10,119.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.