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Finding the Third Proportional to 4,166.44 and 7,672.22

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Solution

The third proportional to 4,166.44 and 7,672.22 is: 14,127.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.44 : 7,672.22 = 7,672.22 : x
  2. Step 2: Convert to fraction form
    4,166.44/7,672.22 = 7,672.22/x
  3. Step 3: Cross multiply
    4,166.44x = 7,672.22 × 7,672.22
  4. Step 4: Simplify right side
    4,166.44x = 58,862,940.55
  5. Step 5: Solve for x
    x = 58,862,940.55/4,166.44
  6. Step 6: Final answer
    x = 14,127.88

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.