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Finding the Third Proportional to 11,964 and 24,526

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Solution

The third proportional to 11,964 and 24,526 is: 50,277.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964 : 24,526 = 24,526 : x
  2. Step 2: Convert to fraction form
    11,964/24,526 = 24,526/x
  3. Step 3: Cross multiply
    11,964x = 24,526 × 24,526
  4. Step 4: Simplify right side
    11,964x = 601,524,676
  5. Step 5: Solve for x
    x = 601,524,676/11,964
  6. Step 6: Final answer
    x = 50,277.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.