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Finding the Third Proportional to 6,353.44 and 7,264.69

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Solution

The third proportional to 6,353.44 and 7,264.69 is: 8,306.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353.44 : 7,264.69 = 7,264.69 : x
  2. Step 2: Convert to fraction form
    6,353.44/7,264.69 = 7,264.69/x
  3. Step 3: Cross multiply
    6,353.44x = 7,264.69 × 7,264.69
  4. Step 4: Simplify right side
    6,353.44x = 52,775,684.47
  5. Step 5: Solve for x
    x = 52,775,684.47/6,353.44
  6. Step 6: Final answer
    x = 8,306.63

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.