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Finding the Third Proportional to 12,086 and 17,318

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Solution

The third proportional to 12,086 and 17,318 is: 24,814.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086 : 17,318 = 17,318 : x
  2. Step 2: Convert to fraction form
    12,086/17,318 = 17,318/x
  3. Step 3: Cross multiply
    12,086x = 17,318 × 17,318
  4. Step 4: Simplify right side
    12,086x = 299,913,124
  5. Step 5: Solve for x
    x = 299,913,124/12,086
  6. Step 6: Final answer
    x = 24,814.92

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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.