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Finding the Third Proportional to 4,112.96 and 6,206.47

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Solution

The third proportional to 4,112.96 and 6,206.47 is: 9,365.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,112.96 : 6,206.47 = 6,206.47 : x
  2. Step 2: Convert to fraction form
    4,112.96/6,206.47 = 6,206.47/x
  3. Step 3: Cross multiply
    4,112.96x = 6,206.47 × 6,206.47
  4. Step 4: Simplify right side
    4,112.96x = 38,520,230.10
  5. Step 5: Solve for x
    x = 38,520,230.10/4,112.96
  6. Step 6: Final answer
    x = 9,365.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.