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Finding the Third Proportional to 1,524.66 and 1,716.19

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Solution

The third proportional to 1,524.66 and 1,716.19 is: 1,931.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.66 : 1,716.19 = 1,716.19 : x
  2. Step 2: Convert to fraction form
    1,524.66/1,716.19 = 1,716.19/x
  3. Step 3: Cross multiply
    1,524.66x = 1,716.19 × 1,716.19
  4. Step 4: Simplify right side
    1,524.66x = 2,945,299.54
  5. Step 5: Solve for x
    x = 2,945,299.54/1,524.66
  6. Step 6: Final answer
    x = 1,931.78

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.