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Finding the Third Proportional to 11,964 and 18,629

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Solution

The third proportional to 11,964 and 18,629 is: 29,006.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964 : 18,629 = 18,629 : x
  2. Step 2: Convert to fraction form
    11,964/18,629 = 18,629/x
  3. Step 3: Cross multiply
    11,964x = 18,629 × 18,629
  4. Step 4: Simplify right side
    11,964x = 347,039,641
  5. Step 5: Solve for x
    x = 347,039,641/11,964
  6. Step 6: Final answer
    x = 29,006.99

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.