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Finding the Third Proportional to 3,584.81 and 5,468.34

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Solution

The third proportional to 3,584.81 and 5,468.34 is: 8,341.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.81 : 5,468.34 = 5,468.34 : x
  2. Step 2: Convert to fraction form
    3,584.81/5,468.34 = 5,468.34/x
  3. Step 3: Cross multiply
    3,584.81x = 5,468.34 × 5,468.34
  4. Step 4: Simplify right side
    3,584.81x = 29,902,783.37
  5. Step 5: Solve for x
    x = 29,902,783.37/3,584.81
  6. Step 6: Final answer
    x = 8,341.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.