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Finding the Third Proportional to 11,579 and 25,306

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Solution

The third proportional to 11,579 and 25,306 is: 55,306.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,579 : 25,306 = 25,306 : x
  2. Step 2: Convert to fraction form
    11,579/25,306 = 25,306/x
  3. Step 3: Cross multiply
    11,579x = 25,306 × 25,306
  4. Step 4: Simplify right side
    11,579x = 640,393,636
  5. Step 5: Solve for x
    x = 640,393,636/11,579
  6. Step 6: Final answer
    x = 55,306.47

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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.