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Finding the Third Proportional to 8,226 and 17,763.75

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Solution

The third proportional to 8,226 and 17,763.75 is: 38,360.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226 : 17,763.75 = 17,763.75 : x
  2. Step 2: Convert to fraction form
    8,226/17,763.75 = 17,763.75/x
  3. Step 3: Cross multiply
    8,226x = 17,763.75 × 17,763.75
  4. Step 4: Simplify right side
    8,226x = 315,550,814.06
  5. Step 5: Solve for x
    x = 315,550,814.06/8,226
  6. Step 6: Final answer
    x = 38,360.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.