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Finding the Third Proportional to 8,204.63 and 17,913.38

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Solution

The third proportional to 8,204.63 and 17,913.38 is: 39,110.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.63 : 17,913.38 = 17,913.38 : x
  2. Step 2: Convert to fraction form
    8,204.63/17,913.38 = 17,913.38/x
  3. Step 3: Cross multiply
    8,204.63x = 17,913.38 × 17,913.38
  4. Step 4: Simplify right side
    8,204.63x = 320,889,003.89
  5. Step 5: Solve for x
    x = 320,889,003.89/8,204.63
  6. Step 6: Final answer
    x = 39,110.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.