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Finding the Third Proportional to 1,212.19 and 1,828.41

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Solution

The third proportional to 1,212.19 and 1,828.41 is: 2,757.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.19 : 1,828.41 = 1,828.41 : x
  2. Step 2: Convert to fraction form
    1,212.19/1,828.41 = 1,828.41/x
  3. Step 3: Cross multiply
    1,212.19x = 1,828.41 × 1,828.41
  4. Step 4: Simplify right side
    1,212.19x = 3,343,069.42
  5. Step 5: Solve for x
    x = 3,343,069.42/1,212.19
  6. Step 6: Final answer
    x = 2,757.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.