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Finding the Third Proportional to 11,764 and 17,322

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Solution

The third proportional to 11,764 and 17,322 is: 25,505.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764 : 17,322 = 17,322 : x
  2. Step 2: Convert to fraction form
    11,764/17,322 = 17,322/x
  3. Step 3: Cross multiply
    11,764x = 17,322 × 17,322
  4. Step 4: Simplify right side
    11,764x = 300,051,684
  5. Step 5: Solve for x
    x = 300,051,684/11,764
  6. Step 6: Final answer
    x = 25,505.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.