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Finding the Third Proportional to 11,006 and 22,924

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Solution

The third proportional to 11,006 and 22,924 is: 47,747.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,006 : 22,924 = 22,924 : x
  2. Step 2: Convert to fraction form
    11,006/22,924 = 22,924/x
  3. Step 3: Cross multiply
    11,006x = 22,924 × 22,924
  4. Step 4: Simplify right side
    11,006x = 525,509,776
  5. Step 5: Solve for x
    x = 525,509,776/11,006
  6. Step 6: Final answer
    x = 47,747.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.