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Finding the Third Proportional to 33,070 and 71,367

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Solution

The third proportional to 33,070 and 71,367 is: 154,014.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,070 : 71,367 = 71,367 : x
  2. Step 2: Convert to fraction form
    33,070/71,367 = 71,367/x
  3. Step 3: Cross multiply
    33,070x = 71,367 × 71,367
  4. Step 4: Simplify right side
    33,070x = 5,093,248,689
  5. Step 5: Solve for x
    x = 5,093,248,689/33,070
  6. Step 6: Final answer
    x = 154,014.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.