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Finding the Third Proportional to 1,023.19 and 2,274.19

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Solution

The third proportional to 1,023.19 and 2,274.19 is: 5,054.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.19 : 2,274.19 = 2,274.19 : x
  2. Step 2: Convert to fraction form
    1,023.19/2,274.19 = 2,274.19/x
  3. Step 3: Cross multiply
    1,023.19x = 2,274.19 × 2,274.19
  4. Step 4: Simplify right side
    1,023.19x = 5,171,928.79
  5. Step 5: Solve for x
    x = 5,171,928.79/1,023.19
  6. Step 6: Final answer
    x = 5,054.72

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.