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Finding the Third Proportional to 8,226 and 18,833

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Solution

The third proportional to 8,226 and 18,833 is: 43,117.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226 : 18,833 = 18,833 : x
  2. Step 2: Convert to fraction form
    8,226/18,833 = 18,833/x
  3. Step 3: Cross multiply
    8,226x = 18,833 × 18,833
  4. Step 4: Simplify right side
    8,226x = 354,681,889
  5. Step 5: Solve for x
    x = 354,681,889/8,226
  6. Step 6: Final answer
    x = 43,117.18

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.