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Finding the Third Proportional to 22,034 and 31,795

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Solution

The third proportional to 22,034 and 31,795 is: 45,880.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,034 : 31,795 = 31,795 : x
  2. Step 2: Convert to fraction form
    22,034/31,795 = 31,795/x
  3. Step 3: Cross multiply
    22,034x = 31,795 × 31,795
  4. Step 4: Simplify right side
    22,034x = 1,010,922,025
  5. Step 5: Solve for x
    x = 1,010,922,025/22,034
  6. Step 6: Final answer
    x = 45,880.10

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.