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Finding the Third Proportional to 12,006 and 17,154

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Solution

The third proportional to 12,006 and 17,154 is: 24,509.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006 : 17,154 = 17,154 : x
  2. Step 2: Convert to fraction form
    12,006/17,154 = 17,154/x
  3. Step 3: Cross multiply
    12,006x = 17,154 × 17,154
  4. Step 4: Simplify right side
    12,006x = 294,259,716
  5. Step 5: Solve for x
    x = 294,259,716/12,006
  6. Step 6: Final answer
    x = 24,509.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.