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Finding the Third Proportional to 5,514 and 12,306

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Solution

The third proportional to 5,514 and 12,306 is: 27,464.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,514 : 12,306 = 12,306 : x
  2. Step 2: Convert to fraction form
    5,514/12,306 = 12,306/x
  3. Step 3: Cross multiply
    5,514x = 12,306 × 12,306
  4. Step 4: Simplify right side
    5,514x = 151,437,636
  5. Step 5: Solve for x
    x = 151,437,636/5,514
  6. Step 6: Final answer
    x = 27,464.21

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.