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Finding the Third Proportional to 3,971.91 and 8,635.59

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Solution

The third proportional to 3,971.91 and 8,635.59 is: 18,775.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.91 : 8,635.59 = 8,635.59 : x
  2. Step 2: Convert to fraction form
    3,971.91/8,635.59 = 8,635.59/x
  3. Step 3: Cross multiply
    3,971.91x = 8,635.59 × 8,635.59
  4. Step 4: Simplify right side
    3,971.91x = 74,573,479.42
  5. Step 5: Solve for x
    x = 74,573,479.42/3,971.91
  6. Step 6: Final answer
    x = 18,775.24

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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.