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Finding the Third Proportional to 5,096.67 and 7,177.36

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Solution

The third proportional to 5,096.67 and 7,177.36 is: 10,107.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.67 : 7,177.36 = 7,177.36 : x
  2. Step 2: Convert to fraction form
    5,096.67/7,177.36 = 7,177.36/x
  3. Step 3: Cross multiply
    5,096.67x = 7,177.36 × 7,177.36
  4. Step 4: Simplify right side
    5,096.67x = 51,514,487.60
  5. Step 5: Solve for x
    x = 51,514,487.60/5,096.67
  6. Step 6: Final answer
    x = 10,107.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.