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Finding the Third Proportional to 5,077.50 and 7,149

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Solution

The third proportional to 5,077.50 and 7,149 is: 10,065.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.50 : 7,149 = 7,149 : x
  2. Step 2: Convert to fraction form
    5,077.50/7,149 = 7,149/x
  3. Step 3: Cross multiply
    5,077.50x = 7,149 × 7,149
  4. Step 4: Simplify right side
    5,077.50x = 51,108,201
  5. Step 5: Solve for x
    x = 51,108,201/5,077.50
  6. Step 6: Final answer
    x = 10,065.62

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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.