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Finding the Third Proportional to 8,634.09 and 18,905.91

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Solution

The third proportional to 8,634.09 and 18,905.91 is: 41,397.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,634.09 : 18,905.91 = 18,905.91 : x
  2. Step 2: Convert to fraction form
    8,634.09/18,905.91 = 18,905.91/x
  3. Step 3: Cross multiply
    8,634.09x = 18,905.91 × 18,905.91
  4. Step 4: Simplify right side
    8,634.09x = 357,433,291.13
  5. Step 5: Solve for x
    x = 357,433,291.13/8,634.09
  6. Step 6: Final answer
    x = 41,397.89

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.