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Finding the Third Proportional to 12,414 and 16,833

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Solution

The third proportional to 12,414 and 16,833 is: 22,825.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414 : 16,833 = 16,833 : x
  2. Step 2: Convert to fraction form
    12,414/16,833 = 16,833/x
  3. Step 3: Cross multiply
    12,414x = 16,833 × 16,833
  4. Step 4: Simplify right side
    12,414x = 283,349,889
  5. Step 5: Solve for x
    x = 283,349,889/12,414
  6. Step 6: Final answer
    x = 22,825.03

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.