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Finding the Third Proportional to 3,450.29 and 7,496.46

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Solution

The third proportional to 3,450.29 and 7,496.46 is: 16,287.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.29 : 7,496.46 = 7,496.46 : x
  2. Step 2: Convert to fraction form
    3,450.29/7,496.46 = 7,496.46/x
  3. Step 3: Cross multiply
    3,450.29x = 7,496.46 × 7,496.46
  4. Step 4: Simplify right side
    3,450.29x = 56,196,838.74
  5. Step 5: Solve for x
    x = 56,196,838.74/3,450.29
  6. Step 6: Final answer
    x = 16,287.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.