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Finding the Third Proportional to 30,296 and 63,376

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Solution

The third proportional to 30,296 and 63,376 is: 132,575.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,296 : 63,376 = 63,376 : x
  2. Step 2: Convert to fraction form
    30,296/63,376 = 63,376/x
  3. Step 3: Cross multiply
    30,296x = 63,376 × 63,376
  4. Step 4: Simplify right side
    30,296x = 4,016,517,376
  5. Step 5: Solve for x
    x = 4,016,517,376/30,296
  6. Step 6: Final answer
    x = 132,575.83

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.