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Finding the Third Proportional to 5,202.56 and 6,937.31

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Solution

The third proportional to 5,202.56 and 6,937.31 is: 9,250.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.56 : 6,937.31 = 6,937.31 : x
  2. Step 2: Convert to fraction form
    5,202.56/6,937.31 = 6,937.31/x
  3. Step 3: Cross multiply
    5,202.56x = 6,937.31 × 6,937.31
  4. Step 4: Simplify right side
    5,202.56x = 48,126,304.72
  5. Step 5: Solve for x
    x = 48,126,304.72/5,202.56
  6. Step 6: Final answer
    x = 9,250.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.