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Finding the Third Proportional to 1,783.22 and 2,744.39

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Solution

The third proportional to 1,783.22 and 2,744.39 is: 4,223.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.22 : 2,744.39 = 2,744.39 : x
  2. Step 2: Convert to fraction form
    1,783.22/2,744.39 = 2,744.39/x
  3. Step 3: Cross multiply
    1,783.22x = 2,744.39 × 2,744.39
  4. Step 4: Simplify right side
    1,783.22x = 7,531,679.90
  5. Step 5: Solve for x
    x = 7,531,679.90/1,783.22
  6. Step 6: Final answer
    x = 4,223.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.