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Finding the Third Proportional to 6,868.55 and 7,496.46

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Solution

The third proportional to 6,868.55 and 7,496.46 is: 8,181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,868.55 : 7,496.46 = 7,496.46 : x
  2. Step 2: Convert to fraction form
    6,868.55/7,496.46 = 7,496.46/x
  3. Step 3: Cross multiply
    6,868.55x = 7,496.46 × 7,496.46
  4. Step 4: Simplify right side
    6,868.55x = 56,196,838.74
  5. Step 5: Solve for x
    x = 56,196,838.74/6,868.55
  6. Step 6: Final answer
    x = 8,181.77

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.