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Finding the Third Proportional to 23,006 and 33,755

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Solution

The third proportional to 23,006 and 33,755 is: 49,526.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,006 : 33,755 = 33,755 : x
  2. Step 2: Convert to fraction form
    23,006/33,755 = 33,755/x
  3. Step 3: Cross multiply
    23,006x = 33,755 × 33,755
  4. Step 4: Simplify right side
    23,006x = 1,139,400,025
  5. Step 5: Solve for x
    x = 1,139,400,025/23,006
  6. Step 6: Final answer
    x = 49,526.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.