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Finding the Third Proportional to 6,453.42 and 7,060.92

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Solution

The third proportional to 6,453.42 and 7,060.92 is: 7,725.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.42 : 7,060.92 = 7,060.92 : x
  2. Step 2: Convert to fraction form
    6,453.42/7,060.92 = 7,060.92/x
  3. Step 3: Cross multiply
    6,453.42x = 7,060.92 × 7,060.92
  4. Step 4: Simplify right side
    6,453.42x = 49,856,617.72
  5. Step 5: Solve for x
    x = 49,856,617.72/6,453.42
  6. Step 6: Final answer
    x = 7,725.61

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.