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Finding the Third Proportional to 33,258 and 73,897

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Solution

The third proportional to 33,258 and 73,897 is: 164,194.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,258 : 73,897 = 73,897 : x
  2. Step 2: Convert to fraction form
    33,258/73,897 = 73,897/x
  3. Step 3: Cross multiply
    33,258x = 73,897 × 73,897
  4. Step 4: Simplify right side
    33,258x = 5,460,766,609
  5. Step 5: Solve for x
    x = 5,460,766,609/33,258
  6. Step 6: Final answer
    x = 164,194.08

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.