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Finding the Third Proportional to 1,250.54 and 1,879.14

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Solution

The third proportional to 1,250.54 and 1,879.14 is: 2,823.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.54 : 1,879.14 = 1,879.14 : x
  2. Step 2: Convert to fraction form
    1,250.54/1,879.14 = 1,879.14/x
  3. Step 3: Cross multiply
    1,250.54x = 1,879.14 × 1,879.14
  4. Step 4: Simplify right side
    1,250.54x = 3,531,154.81
  5. Step 5: Solve for x
    x = 3,531,154.81/1,250.54
  6. Step 6: Final answer
    x = 2,823.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.