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Finding the Third Proportional to 6,880.19 and 8,125.56

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Solution

The third proportional to 6,880.19 and 8,125.56 is: 9,596.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.19 : 8,125.56 = 8,125.56 : x
  2. Step 2: Convert to fraction form
    6,880.19/8,125.56 = 8,125.56/x
  3. Step 3: Cross multiply
    6,880.19x = 8,125.56 × 8,125.56
  4. Step 4: Simplify right side
    6,880.19x = 66,024,765.94
  5. Step 5: Solve for x
    x = 66,024,765.94/6,880.19
  6. Step 6: Final answer
    x = 9,596.36

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.