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Finding the Third Proportional to 6,946 and 14,881

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Solution

The third proportional to 6,946 and 14,881 is: 31,880.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946 : 14,881 = 14,881 : x
  2. Step 2: Convert to fraction form
    6,946/14,881 = 14,881/x
  3. Step 3: Cross multiply
    6,946x = 14,881 × 14,881
  4. Step 4: Simplify right side
    6,946x = 221,444,161
  5. Step 5: Solve for x
    x = 221,444,161/6,946
  6. Step 6: Final answer
    x = 31,880.82

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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.