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Finding the Third Proportional to 11,399 and 25,039

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Solution

The third proportional to 11,399 and 25,039 is: 55,000.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,399 : 25,039 = 25,039 : x
  2. Step 2: Convert to fraction form
    11,399/25,039 = 25,039/x
  3. Step 3: Cross multiply
    11,399x = 25,039 × 25,039
  4. Step 4: Simplify right side
    11,399x = 626,951,521
  5. Step 5: Solve for x
    x = 626,951,521/11,399
  6. Step 6: Final answer
    x = 55,000.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.