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Finding the Third Proportional to 3,354.54 and 4,334.13

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Solution

The third proportional to 3,354.54 and 4,334.13 is: 5,599.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.54 : 4,334.13 = 4,334.13 : x
  2. Step 2: Convert to fraction form
    3,354.54/4,334.13 = 4,334.13/x
  3. Step 3: Cross multiply
    3,354.54x = 4,334.13 × 4,334.13
  4. Step 4: Simplify right side
    3,354.54x = 18,784,707.24
  5. Step 5: Solve for x
    x = 18,784,707.24/3,354.54
  6. Step 6: Final answer
    x = 5,599.79

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.