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Finding the Third Proportional to 3,491.23 and 5,261.04

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Solution

The third proportional to 3,491.23 and 5,261.04 is: 7,928.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.23 : 5,261.04 = 5,261.04 : x
  2. Step 2: Convert to fraction form
    3,491.23/5,261.04 = 5,261.04/x
  3. Step 3: Cross multiply
    3,491.23x = 5,261.04 × 5,261.04
  4. Step 4: Simplify right side
    3,491.23x = 27,678,593.67
  5. Step 5: Solve for x
    x = 27,678,593.67/3,491.23
  6. Step 6: Final answer
    x = 7,928.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.