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Finding the Third Proportional to 22,796 and 34,990

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Solution

The third proportional to 22,796 and 34,990 is: 53,706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,796 : 34,990 = 34,990 : x
  2. Step 2: Convert to fraction form
    22,796/34,990 = 34,990/x
  3. Step 3: Cross multiply
    22,796x = 34,990 × 34,990
  4. Step 4: Simplify right side
    22,796x = 1,224,300,100
  5. Step 5: Solve for x
    x = 1,224,300,100/22,796
  6. Step 6: Final answer
    x = 53,706.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.