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Finding the Third Proportional to 1,824.19 and 3,944.53

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Solution

The third proportional to 1,824.19 and 3,944.53 is: 8,529.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.19 : 3,944.53 = 3,944.53 : x
  2. Step 2: Convert to fraction form
    1,824.19/3,944.53 = 3,944.53/x
  3. Step 3: Cross multiply
    1,824.19x = 3,944.53 × 3,944.53
  4. Step 4: Simplify right side
    1,824.19x = 15,559,326.78
  5. Step 5: Solve for x
    x = 15,559,326.78/1,824.19
  6. Step 6: Final answer
    x = 8,529.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.