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Finding the Third Proportional to 8,410.08 and 18,213.61

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Solution

The third proportional to 8,410.08 and 18,213.61 is: 39,445.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.08 : 18,213.61 = 18,213.61 : x
  2. Step 2: Convert to fraction form
    8,410.08/18,213.61 = 18,213.61/x
  3. Step 3: Cross multiply
    8,410.08x = 18,213.61 × 18,213.61
  4. Step 4: Simplify right side
    8,410.08x = 331,735,566.47
  5. Step 5: Solve for x
    x = 331,735,566.47/8,410.08
  6. Step 6: Final answer
    x = 39,445.00

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