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Finding the Third Proportional to 4,524.19 and 7,004.81

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Solution

The third proportional to 4,524.19 and 7,004.81 is: 10,845.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,524.19 : 7,004.81 = 7,004.81 : x
  2. Step 2: Convert to fraction form
    4,524.19/7,004.81 = 7,004.81/x
  3. Step 3: Cross multiply
    4,524.19x = 7,004.81 × 7,004.81
  4. Step 4: Simplify right side
    4,524.19x = 49,067,398.16
  5. Step 5: Solve for x
    x = 49,067,398.16/4,524.19
  6. Step 6: Final answer
    x = 10,845.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.