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Finding the Third Proportional to 6,370.88 and 8,325.56

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Solution

The third proportional to 6,370.88 and 8,325.56 is: 10,879.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,370.88 : 8,325.56 = 8,325.56 : x
  2. Step 2: Convert to fraction form
    6,370.88/8,325.56 = 8,325.56/x
  3. Step 3: Cross multiply
    6,370.88x = 8,325.56 × 8,325.56
  4. Step 4: Simplify right side
    6,370.88x = 69,314,990.94
  5. Step 5: Solve for x
    x = 69,314,990.94/6,370.88
  6. Step 6: Final answer
    x = 10,879.98

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.