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Finding the Third Proportional to 3,457.69 and 8,137.97

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Solution

The third proportional to 3,457.69 and 8,137.97 is: 19,153.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.69 : 8,137.97 = 8,137.97 : x
  2. Step 2: Convert to fraction form
    3,457.69/8,137.97 = 8,137.97/x
  3. Step 3: Cross multiply
    3,457.69x = 8,137.97 × 8,137.97
  4. Step 4: Simplify right side
    3,457.69x = 66,226,535.38
  5. Step 5: Solve for x
    x = 66,226,535.38/3,457.69
  6. Step 6: Final answer
    x = 19,153.42

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.