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Finding the Third Proportional to 4,206.38 and 6,598.97

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Solution

The third proportional to 4,206.38 and 6,598.97 is: 10,352.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.38 : 6,598.97 = 6,598.97 : x
  2. Step 2: Convert to fraction form
    4,206.38/6,598.97 = 6,598.97/x
  3. Step 3: Cross multiply
    4,206.38x = 6,598.97 × 6,598.97
  4. Step 4: Simplify right side
    4,206.38x = 43,546,388.56
  5. Step 5: Solve for x
    x = 43,546,388.56/4,206.38
  6. Step 6: Final answer
    x = 10,352.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.