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Finding the Third Proportional to 12,228 and 13,252

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Solution

The third proportional to 12,228 and 13,252 is: 14,361.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228 : 13,252 = 13,252 : x
  2. Step 2: Convert to fraction form
    12,228/13,252 = 13,252/x
  3. Step 3: Cross multiply
    12,228x = 13,252 × 13,252
  4. Step 4: Simplify right side
    12,228x = 175,615,504
  5. Step 5: Solve for x
    x = 175,615,504/12,228
  6. Step 6: Final answer
    x = 14,361.75

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.