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Finding the Third Proportional to 7,555.78 and 8,034.19

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Solution

The third proportional to 7,555.78 and 8,034.19 is: 8,542.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,555.78 : 8,034.19 = 8,034.19 : x
  2. Step 2: Convert to fraction form
    7,555.78/8,034.19 = 8,034.19/x
  3. Step 3: Cross multiply
    7,555.78x = 8,034.19 × 8,034.19
  4. Step 4: Simplify right side
    7,555.78x = 64,548,168.79
  5. Step 5: Solve for x
    x = 64,548,168.79/7,555.78
  6. Step 6: Final answer
    x = 8,542.88

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.