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Finding the Third Proportional to 4,375.69 and 6,375.94

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Solution

The third proportional to 4,375.69 and 6,375.94 is: 9,290.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,375.69 : 6,375.94 = 6,375.94 : x
  2. Step 2: Convert to fraction form
    4,375.69/6,375.94 = 6,375.94/x
  3. Step 3: Cross multiply
    4,375.69x = 6,375.94 × 6,375.94
  4. Step 4: Simplify right side
    4,375.69x = 40,652,579.00
  5. Step 5: Solve for x
    x = 40,652,579.00/4,375.69
  6. Step 6: Final answer
    x = 9,290.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.