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Finding the Third Proportional to 11,032 and 18,596

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Solution

The third proportional to 11,032 and 18,596 is: 31,346.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,032 : 18,596 = 18,596 : x
  2. Step 2: Convert to fraction form
    11,032/18,596 = 18,596/x
  3. Step 3: Cross multiply
    11,032x = 18,596 × 18,596
  4. Step 4: Simplify right side
    11,032x = 345,811,216
  5. Step 5: Solve for x
    x = 345,811,216/11,032
  6. Step 6: Final answer
    x = 31,346.19

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.