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Finding the Third Proportional to 33,016 and 70,640

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Solution

The third proportional to 33,016 and 70,640 is: 151,139.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,016 : 70,640 = 70,640 : x
  2. Step 2: Convert to fraction form
    33,016/70,640 = 70,640/x
  3. Step 3: Cross multiply
    33,016x = 70,640 × 70,640
  4. Step 4: Simplify right side
    33,016x = 4,990,009,600
  5. Step 5: Solve for x
    x = 4,990,009,600/33,016
  6. Step 6: Final answer
    x = 151,139.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.