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Finding the Third Proportional to 8,686 and 17,978

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Solution

The third proportional to 8,686 and 17,978 is: 37,210.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686 : 17,978 = 17,978 : x
  2. Step 2: Convert to fraction form
    8,686/17,978 = 17,978/x
  3. Step 3: Cross multiply
    8,686x = 17,978 × 17,978
  4. Step 4: Simplify right side
    8,686x = 323,208,484
  5. Step 5: Solve for x
    x = 323,208,484/8,686
  6. Step 6: Final answer
    x = 37,210.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.