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Finding the Third Proportional to 6,475.94 and 8,034.56

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Solution

The third proportional to 6,475.94 and 8,034.56 is: 9,968.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.94 : 8,034.56 = 8,034.56 : x
  2. Step 2: Convert to fraction form
    6,475.94/8,034.56 = 8,034.56/x
  3. Step 3: Cross multiply
    6,475.94x = 8,034.56 × 8,034.56
  4. Step 4: Simplify right side
    6,475.94x = 64,554,194.57
  5. Step 5: Solve for x
    x = 64,554,194.57/6,475.94
  6. Step 6: Final answer
    x = 9,968.32

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Why These Related Problems?

These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.