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Finding the Third Proportional to 6,292.69 and 8,347.22

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Solution

The third proportional to 6,292.69 and 8,347.22 is: 11,072.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.69 : 8,347.22 = 8,347.22 : x
  2. Step 2: Convert to fraction form
    6,292.69/8,347.22 = 8,347.22/x
  3. Step 3: Cross multiply
    6,292.69x = 8,347.22 × 8,347.22
  4. Step 4: Simplify right side
    6,292.69x = 69,676,060.86
  5. Step 5: Solve for x
    x = 69,676,060.86/6,292.69
  6. Step 6: Final answer
    x = 11,072.54

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.