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Finding the Third Proportional to 3,784.54 and 7,722.84

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Solution

The third proportional to 3,784.54 and 7,722.84 is: 15,759.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.54 : 7,722.84 = 7,722.84 : x
  2. Step 2: Convert to fraction form
    3,784.54/7,722.84 = 7,722.84/x
  3. Step 3: Cross multiply
    3,784.54x = 7,722.84 × 7,722.84
  4. Step 4: Simplify right side
    3,784.54x = 59,642,315.59
  5. Step 5: Solve for x
    x = 59,642,315.59/3,784.54
  6. Step 6: Final answer
    x = 15,759.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.