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Finding the Third Proportional to 6,336.56 and 7,011.56

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Solution

The third proportional to 6,336.56 and 7,011.56 is: 7,758.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.56 : 7,011.56 = 7,011.56 : x
  2. Step 2: Convert to fraction form
    6,336.56/7,011.56 = 7,011.56/x
  3. Step 3: Cross multiply
    6,336.56x = 7,011.56 × 7,011.56
  4. Step 4: Simplify right side
    6,336.56x = 49,162,008.69
  5. Step 5: Solve for x
    x = 49,162,008.69/6,336.56
  6. Step 6: Final answer
    x = 7,758.47

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.