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Finding the Third Proportional to 33,971 and 74,854

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Solution

The third proportional to 33,971 and 74,854 is: 164,938.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,971 : 74,854 = 74,854 : x
  2. Step 2: Convert to fraction form
    33,971/74,854 = 74,854/x
  3. Step 3: Cross multiply
    33,971x = 74,854 × 74,854
  4. Step 4: Simplify right side
    33,971x = 5,603,121,316
  5. Step 5: Solve for x
    x = 5,603,121,316/33,971
  6. Step 6: Final answer
    x = 164,938.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.