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Finding the Third Proportional to 22,006 and 29,333

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Solution

The third proportional to 22,006 and 29,333 is: 39,099.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,006 : 29,333 = 29,333 : x
  2. Step 2: Convert to fraction form
    22,006/29,333 = 29,333/x
  3. Step 3: Cross multiply
    22,006x = 29,333 × 29,333
  4. Step 4: Simplify right side
    22,006x = 860,424,889
  5. Step 5: Solve for x
    x = 860,424,889/22,006
  6. Step 6: Final answer
    x = 39,099.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.