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Finding the Third Proportional to 13,317 and 31,806

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Solution

The third proportional to 13,317 and 31,806 is: 75,964.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,317 : 31,806 = 31,806 : x
  2. Step 2: Convert to fraction form
    13,317/31,806 = 31,806/x
  3. Step 3: Cross multiply
    13,317x = 31,806 × 31,806
  4. Step 4: Simplify right side
    13,317x = 1,011,621,636
  5. Step 5: Solve for x
    x = 1,011,621,636/13,317
  6. Step 6: Final answer
    x = 75,964.68

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.