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Finding the Third Proportional to 10,296 and 22,548

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Solution

The third proportional to 10,296 and 22,548 is: 49,379.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296 : 22,548 = 22,548 : x
  2. Step 2: Convert to fraction form
    10,296/22,548 = 22,548/x
  3. Step 3: Cross multiply
    10,296x = 22,548 × 22,548
  4. Step 4: Simplify right side
    10,296x = 508,412,304
  5. Step 5: Solve for x
    x = 508,412,304/10,296
  6. Step 6: Final answer
    x = 49,379.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.