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Finding the Third Proportional to 13,966 and 31,583

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Solution

The third proportional to 13,966 and 31,583 is: 71,422.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,966 : 31,583 = 31,583 : x
  2. Step 2: Convert to fraction form
    13,966/31,583 = 31,583/x
  3. Step 3: Cross multiply
    13,966x = 31,583 × 31,583
  4. Step 4: Simplify right side
    13,966x = 997,485,889
  5. Step 5: Solve for x
    x = 997,485,889/13,966
  6. Step 6: Final answer
    x = 71,422.45

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.