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Finding the Third Proportional to 4,270.22 and 6,472.41

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Solution

The third proportional to 4,270.22 and 6,472.41 is: 9,810.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270.22 : 6,472.41 = 6,472.41 : x
  2. Step 2: Convert to fraction form
    4,270.22/6,472.41 = 6,472.41/x
  3. Step 3: Cross multiply
    4,270.22x = 6,472.41 × 6,472.41
  4. Step 4: Simplify right side
    4,270.22x = 41,892,042.67
  5. Step 5: Solve for x
    x = 41,892,042.67/4,270.22
  6. Step 6: Final answer
    x = 9,810.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.