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Finding the Third Proportional to 6,177 and 6,969

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Solution

The third proportional to 6,177 and 6,969 is: 7,862.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177 : 6,969 = 6,969 : x
  2. Step 2: Convert to fraction form
    6,177/6,969 = 6,969/x
  3. Step 3: Cross multiply
    6,177x = 6,969 × 6,969
  4. Step 4: Simplify right side
    6,177x = 48,566,961
  5. Step 5: Solve for x
    x = 48,566,961/6,177
  6. Step 6: Final answer
    x = 7,862.55

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.