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Finding the Third Proportional to 3,454.23 and 7,401.32

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Solution

The third proportional to 3,454.23 and 7,401.32 is: 15,858.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.23 : 7,401.32 = 7,401.32 : x
  2. Step 2: Convert to fraction form
    3,454.23/7,401.32 = 7,401.32/x
  3. Step 3: Cross multiply
    3,454.23x = 7,401.32 × 7,401.32
  4. Step 4: Simplify right side
    3,454.23x = 54,779,571.28
  5. Step 5: Solve for x
    x = 54,779,571.28/3,454.23
  6. Step 6: Final answer
    x = 15,858.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.