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Finding the Third Proportional to 8,686 and 12,409

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Solution

The third proportional to 8,686 and 12,409 is: 17,727.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686 : 12,409 = 12,409 : x
  2. Step 2: Convert to fraction form
    8,686/12,409 = 12,409/x
  3. Step 3: Cross multiply
    8,686x = 12,409 × 12,409
  4. Step 4: Simplify right side
    8,686x = 153,983,281
  5. Step 5: Solve for x
    x = 153,983,281/8,686
  6. Step 6: Final answer
    x = 17,727.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.