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Finding the Third Proportional to 4,841.72 and 7,172.44

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Solution

The third proportional to 4,841.72 and 7,172.44 is: 10,625.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,841.72 : 7,172.44 = 7,172.44 : x
  2. Step 2: Convert to fraction form
    4,841.72/7,172.44 = 7,172.44/x
  3. Step 3: Cross multiply
    4,841.72x = 7,172.44 × 7,172.44
  4. Step 4: Simplify right side
    4,841.72x = 51,443,859.69
  5. Step 5: Solve for x
    x = 51,443,859.69/4,841.72
  6. Step 6: Final answer
    x = 10,625.12

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.