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Finding the Third Proportional to 5,977.94 and 8,034.66

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Solution

The third proportional to 5,977.94 and 8,034.66 is: 10,799.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.94 : 8,034.66 = 8,034.66 : x
  2. Step 2: Convert to fraction form
    5,977.94/8,034.66 = 8,034.66/x
  3. Step 3: Cross multiply
    5,977.94x = 8,034.66 × 8,034.66
  4. Step 4: Simplify right side
    5,977.94x = 64,555,795.21
  5. Step 5: Solve for x
    x = 64,555,795.21/5,977.94
  6. Step 6: Final answer
    x = 10,799.00

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.