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Finding the Third Proportional to 3,384.94 and 5,608.13

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Solution

The third proportional to 3,384.94 and 5,608.13 is: 9,291.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.94 : 5,608.13 = 5,608.13 : x
  2. Step 2: Convert to fraction form
    3,384.94/5,608.13 = 5,608.13/x
  3. Step 3: Cross multiply
    3,384.94x = 5,608.13 × 5,608.13
  4. Step 4: Simplify right side
    3,384.94x = 31,451,066.02
  5. Step 5: Solve for x
    x = 31,451,066.02/3,384.94
  6. Step 6: Final answer
    x = 9,291.48

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.