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Finding the Third Proportional to 11,724 and 14,124

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Solution

The third proportional to 11,724 and 14,124 is: 17,015.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,724 : 14,124 = 14,124 : x
  2. Step 2: Convert to fraction form
    11,724/14,124 = 14,124/x
  3. Step 3: Cross multiply
    11,724x = 14,124 × 14,124
  4. Step 4: Simplify right side
    11,724x = 199,487,376
  5. Step 5: Solve for x
    x = 199,487,376/11,724
  6. Step 6: Final answer
    x = 17,015.30

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.