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Finding the Third Proportional to 3,576.66 and 5,273.86

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Solution

The third proportional to 3,576.66 and 5,273.86 is: 7,776.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,576.66 : 5,273.86 = 5,273.86 : x
  2. Step 2: Convert to fraction form
    3,576.66/5,273.86 = 5,273.86/x
  3. Step 3: Cross multiply
    3,576.66x = 5,273.86 × 5,273.86
  4. Step 4: Simplify right side
    3,576.66x = 27,813,592.71
  5. Step 5: Solve for x
    x = 27,813,592.71/3,576.66
  6. Step 6: Final answer
    x = 7,776.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.