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Finding the Third Proportional to 6,941 and 14,969

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Solution

The third proportional to 6,941 and 14,969 is: 32,282.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941 : 14,969 = 14,969 : x
  2. Step 2: Convert to fraction form
    6,941/14,969 = 14,969/x
  3. Step 3: Cross multiply
    6,941x = 14,969 × 14,969
  4. Step 4: Simplify right side
    6,941x = 224,070,961
  5. Step 5: Solve for x
    x = 224,070,961/6,941
  6. Step 6: Final answer
    x = 32,282.23

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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.