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Finding the Third Proportional to 8,048 and 13,717

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Solution

The third proportional to 8,048 and 13,717 is: 23,379.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048 : 13,717 = 13,717 : x
  2. Step 2: Convert to fraction form
    8,048/13,717 = 13,717/x
  3. Step 3: Cross multiply
    8,048x = 13,717 × 13,717
  4. Step 4: Simplify right side
    8,048x = 188,156,089
  5. Step 5: Solve for x
    x = 188,156,089/8,048
  6. Step 6: Final answer
    x = 23,379.24

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.