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Finding the Third Proportional to 12,764 and 20,376

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Solution

The third proportional to 12,764 and 20,376 is: 32,527.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,764 : 20,376 = 20,376 : x
  2. Step 2: Convert to fraction form
    12,764/20,376 = 20,376/x
  3. Step 3: Cross multiply
    12,764x = 20,376 × 20,376
  4. Step 4: Simplify right side
    12,764x = 415,181,376
  5. Step 5: Solve for x
    x = 415,181,376/12,764
  6. Step 6: Final answer
    x = 32,527.53

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.