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Finding the Third Proportional to 5,971 and 9,807

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Solution

The third proportional to 5,971 and 9,807 is: 16,107.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971 : 9,807 = 9,807 : x
  2. Step 2: Convert to fraction form
    5,971/9,807 = 9,807/x
  3. Step 3: Cross multiply
    5,971x = 9,807 × 9,807
  4. Step 4: Simplify right side
    5,971x = 96,177,249
  5. Step 5: Solve for x
    x = 96,177,249/5,971
  6. Step 6: Final answer
    x = 16,107.39

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.