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Finding the Third Proportional to 11,561 and 16,929

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Solution

The third proportional to 11,561 and 16,929 is: 24,789.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561 : 16,929 = 16,929 : x
  2. Step 2: Convert to fraction form
    11,561/16,929 = 16,929/x
  3. Step 3: Cross multiply
    11,561x = 16,929 × 16,929
  4. Step 4: Simplify right side
    11,561x = 286,591,041
  5. Step 5: Solve for x
    x = 286,591,041/11,561
  6. Step 6: Final answer
    x = 24,789.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.