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Finding the Third Proportional to 6,378.75 and 8,337.94

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Solution

The third proportional to 6,378.75 and 8,337.94 is: 10,898.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.75 : 8,337.94 = 8,337.94 : x
  2. Step 2: Convert to fraction form
    6,378.75/8,337.94 = 8,337.94/x
  3. Step 3: Cross multiply
    6,378.75x = 8,337.94 × 8,337.94
  4. Step 4: Simplify right side
    6,378.75x = 69,521,201.75
  5. Step 5: Solve for x
    x = 69,521,201.75/6,378.75
  6. Step 6: Final answer
    x = 10,898.88

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.