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Finding the Third Proportional to 3,967.41 and 5,828.34

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Solution

The third proportional to 3,967.41 and 5,828.34 is: 8,562.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.41 : 5,828.34 = 5,828.34 : x
  2. Step 2: Convert to fraction form
    3,967.41/5,828.34 = 5,828.34/x
  3. Step 3: Cross multiply
    3,967.41x = 5,828.34 × 5,828.34
  4. Step 4: Simplify right side
    3,967.41x = 33,969,590.87
  5. Step 5: Solve for x
    x = 33,969,590.87/3,967.41
  6. Step 6: Final answer
    x = 8,562.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.