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Finding the Third Proportional to 23,114 and 33,029

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Solution

The third proportional to 23,114 and 33,029 is: 47,197.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,114 : 33,029 = 33,029 : x
  2. Step 2: Convert to fraction form
    23,114/33,029 = 33,029/x
  3. Step 3: Cross multiply
    23,114x = 33,029 × 33,029
  4. Step 4: Simplify right side
    23,114x = 1,090,914,841
  5. Step 5: Solve for x
    x = 1,090,914,841/23,114
  6. Step 6: Final answer
    x = 47,197.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.