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Finding the Third Proportional to 19,651 and 43,145

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Solution

The third proportional to 19,651 and 43,145 is: 94,727.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,651 : 43,145 = 43,145 : x
  2. Step 2: Convert to fraction form
    19,651/43,145 = 43,145/x
  3. Step 3: Cross multiply
    19,651x = 43,145 × 43,145
  4. Step 4: Simplify right side
    19,651x = 1,861,491,025
  5. Step 5: Solve for x
    x = 1,861,491,025/19,651
  6. Step 6: Final answer
    x = 94,727.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.