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Finding the Third Proportional to 5,013 and 6,695.25

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Solution

The third proportional to 5,013 and 6,695.25 is: 8,942.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,013 : 6,695.25 = 6,695.25 : x
  2. Step 2: Convert to fraction form
    5,013/6,695.25 = 6,695.25/x
  3. Step 3: Cross multiply
    5,013x = 6,695.25 × 6,695.25
  4. Step 4: Simplify right side
    5,013x = 44,826,372.56
  5. Step 5: Solve for x
    x = 44,826,372.56/5,013
  6. Step 6: Final answer
    x = 8,942.03

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.