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Finding the Third Proportional to 33,688 and 70,916

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Solution

The third proportional to 33,688 and 70,916 is: 149,283.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,688 : 70,916 = 70,916 : x
  2. Step 2: Convert to fraction form
    33,688/70,916 = 70,916/x
  3. Step 3: Cross multiply
    33,688x = 70,916 × 70,916
  4. Step 4: Simplify right side
    33,688x = 5,029,079,056
  5. Step 5: Solve for x
    x = 5,029,079,056/33,688
  6. Step 6: Final answer
    x = 149,283.99

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.