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Finding the Third Proportional to 1,744.03 and 4,220.86

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Solution

The third proportional to 1,744.03 and 4,220.86 is: 10,215.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.03 : 4,220.86 = 4,220.86 : x
  2. Step 2: Convert to fraction form
    1,744.03/4,220.86 = 4,220.86/x
  3. Step 3: Cross multiply
    1,744.03x = 4,220.86 × 4,220.86
  4. Step 4: Simplify right side
    1,744.03x = 17,815,653.86
  5. Step 5: Solve for x
    x = 17,815,653.86/1,744.03
  6. Step 6: Final answer
    x = 10,215.21

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.