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Finding the Third Proportional to 3,457.69 and 5,497.03

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Solution

The third proportional to 3,457.69 and 5,497.03 is: 8,739.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.69 : 5,497.03 = 5,497.03 : x
  2. Step 2: Convert to fraction form
    3,457.69/5,497.03 = 5,497.03/x
  3. Step 3: Cross multiply
    3,457.69x = 5,497.03 × 5,497.03
  4. Step 4: Simplify right side
    3,457.69x = 30,217,352.56
  5. Step 5: Solve for x
    x = 30,217,352.56/3,457.69
  6. Step 6: Final answer
    x = 8,739.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.