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Finding the Third Proportional to 13,389 and 20,596

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Solution

The third proportional to 13,389 and 20,596 is: 31,682.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,389 : 20,596 = 20,596 : x
  2. Step 2: Convert to fraction form
    13,389/20,596 = 20,596/x
  3. Step 3: Cross multiply
    13,389x = 20,596 × 20,596
  4. Step 4: Simplify right side
    13,389x = 424,195,216
  5. Step 5: Solve for x
    x = 424,195,216/13,389
  6. Step 6: Final answer
    x = 31,682.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.