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Finding the Third Proportional to 33,317 and 71,574

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Solution

The third proportional to 33,317 and 71,574 is: 153,760.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,317 : 71,574 = 71,574 : x
  2. Step 2: Convert to fraction form
    33,317/71,574 = 71,574/x
  3. Step 3: Cross multiply
    33,317x = 71,574 × 71,574
  4. Step 4: Simplify right side
    33,317x = 5,122,837,476
  5. Step 5: Solve for x
    x = 5,122,837,476/33,317
  6. Step 6: Final answer
    x = 153,760.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.