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Finding the Third Proportional to 22,012 and 33,971

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Solution

The third proportional to 22,012 and 33,971 is: 52,427.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,012 : 33,971 = 33,971 : x
  2. Step 2: Convert to fraction form
    22,012/33,971 = 33,971/x
  3. Step 3: Cross multiply
    22,012x = 33,971 × 33,971
  4. Step 4: Simplify right side
    22,012x = 1,154,028,841
  5. Step 5: Solve for x
    x = 1,154,028,841/22,012
  6. Step 6: Final answer
    x = 52,427.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.