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Finding the Third Proportional to 12,228 and 14,404

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Solution

The third proportional to 12,228 and 14,404 is: 16,967.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228 : 14,404 = 14,404 : x
  2. Step 2: Convert to fraction form
    12,228/14,404 = 14,404/x
  3. Step 3: Cross multiply
    12,228x = 14,404 × 14,404
  4. Step 4: Simplify right side
    12,228x = 207,475,216
  5. Step 5: Solve for x
    x = 207,475,216/12,228
  6. Step 6: Final answer
    x = 16,967.22

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.