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Finding the Third Proportional to 33,943 and 74,578

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Solution

The third proportional to 33,943 and 74,578 is: 163,859.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,943 : 74,578 = 74,578 : x
  2. Step 2: Convert to fraction form
    33,943/74,578 = 74,578/x
  3. Step 3: Cross multiply
    33,943x = 74,578 × 74,578
  4. Step 4: Simplify right side
    33,943x = 5,561,878,084
  5. Step 5: Solve for x
    x = 5,561,878,084/33,943
  6. Step 6: Final answer
    x = 163,859.35

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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.