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Finding the Third Proportional to 13,813 and 21,331

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Solution

The third proportional to 13,813 and 21,331 is: 32,940.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813 : 21,331 = 21,331 : x
  2. Step 2: Convert to fraction form
    13,813/21,331 = 21,331/x
  3. Step 3: Cross multiply
    13,813x = 21,331 × 21,331
  4. Step 4: Simplify right side
    13,813x = 455,011,561
  5. Step 5: Solve for x
    x = 455,011,561/13,813
  6. Step 6: Final answer
    x = 32,940.82

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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.