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Finding the Third Proportional to 23,670 and 33,645

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Solution

The third proportional to 23,670 and 33,645 is: 47,823.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,670 : 33,645 = 33,645 : x
  2. Step 2: Convert to fraction form
    23,670/33,645 = 33,645/x
  3. Step 3: Cross multiply
    23,670x = 33,645 × 33,645
  4. Step 4: Simplify right side
    23,670x = 1,131,986,025
  5. Step 5: Solve for x
    x = 1,131,986,025/23,670
  6. Step 6: Final answer
    x = 47,823.66

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.