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Finding the Third Proportional to 3,421.69 and 7,486.31

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Solution

The third proportional to 3,421.69 and 7,486.31 is: 16,379.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.69 : 7,486.31 = 7,486.31 : x
  2. Step 2: Convert to fraction form
    3,421.69/7,486.31 = 7,486.31/x
  3. Step 3: Cross multiply
    3,421.69x = 7,486.31 × 7,486.31
  4. Step 4: Simplify right side
    3,421.69x = 56,044,874.85
  5. Step 5: Solve for x
    x = 56,044,874.85/3,421.69
  6. Step 6: Final answer
    x = 16,379.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.