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Finding the Third Proportional to 1,050.19 and 1,873.69

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Solution

The third proportional to 1,050.19 and 1,873.69 is: 3,342.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.19 : 1,873.69 = 1,873.69 : x
  2. Step 2: Convert to fraction form
    1,050.19/1,873.69 = 1,873.69/x
  3. Step 3: Cross multiply
    1,050.19x = 1,873.69 × 1,873.69
  4. Step 4: Simplify right side
    1,050.19x = 3,510,704.85
  5. Step 5: Solve for x
    x = 3,510,704.85/1,050.19
  6. Step 6: Final answer
    x = 3,342.93

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.