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Finding the Third Proportional to 13,234 and 20,473

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Solution

The third proportional to 13,234 and 20,473 is: 31,671.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,234 : 20,473 = 20,473 : x
  2. Step 2: Convert to fraction form
    13,234/20,473 = 20,473/x
  3. Step 3: Cross multiply
    13,234x = 20,473 × 20,473
  4. Step 4: Simplify right side
    13,234x = 419,143,729
  5. Step 5: Solve for x
    x = 419,143,729/13,234
  6. Step 6: Final answer
    x = 31,671.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.