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Finding the Third Proportional to 7,858 and 16,946

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Solution

The third proportional to 7,858 and 16,946 is: 36,544.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858 : 16,946 = 16,946 : x
  2. Step 2: Convert to fraction form
    7,858/16,946 = 16,946/x
  3. Step 3: Cross multiply
    7,858x = 16,946 × 16,946
  4. Step 4: Simplify right side
    7,858x = 287,166,916
  5. Step 5: Solve for x
    x = 287,166,916/7,858
  6. Step 6: Final answer
    x = 36,544.53

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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.