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Finding the Third Proportional to 6,562.69 and 9,965.44

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Solution

The third proportional to 6,562.69 and 9,965.44 is: 15,132.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.69 : 9,965.44 = 9,965.44 : x
  2. Step 2: Convert to fraction form
    6,562.69/9,965.44 = 9,965.44/x
  3. Step 3: Cross multiply
    6,562.69x = 9,965.44 × 9,965.44
  4. Step 4: Simplify right side
    6,562.69x = 99,309,944.57
  5. Step 5: Solve for x
    x = 99,309,944.57/6,562.69
  6. Step 6: Final answer
    x = 15,132.51

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1.5x scale

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.