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Finding the Third Proportional to 8,215 and 17,814.03

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Solution

The third proportional to 8,215 and 17,814.03 is: 38,629.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215 : 17,814.03 = 17,814.03 : x
  2. Step 2: Convert to fraction form
    8,215/17,814.03 = 17,814.03/x
  3. Step 3: Cross multiply
    8,215x = 17,814.03 × 17,814.03
  4. Step 4: Simplify right side
    8,215x = 317,339,709.38
  5. Step 5: Solve for x
    x = 317,339,709.38/8,215
  6. Step 6: Final answer
    x = 38,629.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.