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Finding the Third Proportional to 8,642 and 18,028

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Solution

The third proportional to 8,642 and 18,028 is: 37,608.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642 : 18,028 = 18,028 : x
  2. Step 2: Convert to fraction form
    8,642/18,028 = 18,028/x
  3. Step 3: Cross multiply
    8,642x = 18,028 × 18,028
  4. Step 4: Simplify right side
    8,642x = 325,008,784
  5. Step 5: Solve for x
    x = 325,008,784/8,642
  6. Step 6: Final answer
    x = 37,608.05

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.