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Finding the Third Proportional to 8,039.25 and 9,770.63

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Solution

The third proportional to 8,039.25 and 9,770.63 is: 11,874.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,039.25 : 9,770.63 = 9,770.63 : x
  2. Step 2: Convert to fraction form
    8,039.25/9,770.63 = 9,770.63/x
  3. Step 3: Cross multiply
    8,039.25x = 9,770.63 × 9,770.63
  4. Step 4: Simplify right side
    8,039.25x = 95,465,112.89
  5. Step 5: Solve for x
    x = 95,465,112.89/8,039.25
  6. Step 6: Final answer
    x = 11,874.88

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.