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Finding the Third Proportional to 12,006 and 14,544

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Solution

The third proportional to 12,006 and 14,544 is: 17,618.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006 : 14,544 = 14,544 : x
  2. Step 2: Convert to fraction form
    12,006/14,544 = 14,544/x
  3. Step 3: Cross multiply
    12,006x = 14,544 × 14,544
  4. Step 4: Simplify right side
    12,006x = 211,527,936
  5. Step 5: Solve for x
    x = 211,527,936/12,006
  6. Step 6: Final answer
    x = 17,618.52

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.