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Finding the Third Proportional to 6,946 and 9,851

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Solution

The third proportional to 6,946 and 9,851 is: 13,970.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946 : 9,851 = 9,851 : x
  2. Step 2: Convert to fraction form
    6,946/9,851 = 9,851/x
  3. Step 3: Cross multiply
    6,946x = 9,851 × 9,851
  4. Step 4: Simplify right side
    6,946x = 97,042,201
  5. Step 5: Solve for x
    x = 97,042,201/6,946
  6. Step 6: Final answer
    x = 13,970.95

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.