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Finding the Third Proportional to 13,223 and 18,133

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Solution

The third proportional to 13,223 and 18,133 is: 24,866.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223 : 18,133 = 18,133 : x
  2. Step 2: Convert to fraction form
    13,223/18,133 = 18,133/x
  3. Step 3: Cross multiply
    13,223x = 18,133 × 18,133
  4. Step 4: Simplify right side
    13,223x = 328,805,689
  5. Step 5: Solve for x
    x = 328,805,689/13,223
  6. Step 6: Final answer
    x = 24,866.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.