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Finding the Third Proportional to 33,412 and 69,586

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Solution

The third proportional to 33,412 and 69,586 is: 144,924.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,412 : 69,586 = 69,586 : x
  2. Step 2: Convert to fraction form
    33,412/69,586 = 69,586/x
  3. Step 3: Cross multiply
    33,412x = 69,586 × 69,586
  4. Step 4: Simplify right side
    33,412x = 4,842,211,396
  5. Step 5: Solve for x
    x = 4,842,211,396/33,412
  6. Step 6: Final answer
    x = 144,924.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.