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Finding the Third Proportional to 33,994 and 74,718

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Solution

The third proportional to 33,994 and 74,718 is: 164,228.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,994 : 74,718 = 74,718 : x
  2. Step 2: Convert to fraction form
    33,994/74,718 = 74,718/x
  3. Step 3: Cross multiply
    33,994x = 74,718 × 74,718
  4. Step 4: Simplify right side
    33,994x = 5,582,779,524
  5. Step 5: Solve for x
    x = 5,582,779,524/33,994
  6. Step 6: Final answer
    x = 164,228.38

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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.