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Finding the Third Proportional to 13,182 and 20,355

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Solution

The third proportional to 13,182 and 20,355 is: 31,431.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182 : 20,355 = 20,355 : x
  2. Step 2: Convert to fraction form
    13,182/20,355 = 20,355/x
  3. Step 3: Cross multiply
    13,182x = 20,355 × 20,355
  4. Step 4: Simplify right side
    13,182x = 414,326,025
  5. Step 5: Solve for x
    x = 414,326,025/13,182
  6. Step 6: Final answer
    x = 31,431.20

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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.