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Finding the Third Proportional to 6,431 and 14,083

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Solution

The third proportional to 6,431 and 14,083 is: 30,839.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431 : 14,083 = 14,083 : x
  2. Step 2: Convert to fraction form
    6,431/14,083 = 14,083/x
  3. Step 3: Cross multiply
    6,431x = 14,083 × 14,083
  4. Step 4: Simplify right side
    6,431x = 198,330,889
  5. Step 5: Solve for x
    x = 198,330,889/6,431
  6. Step 6: Final answer
    x = 30,839.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.