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Finding the Third Proportional to 13,057 and 30,817

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Solution

The third proportional to 13,057 and 30,817 is: 72,733.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057 : 30,817 = 30,817 : x
  2. Step 2: Convert to fraction form
    13,057/30,817 = 30,817/x
  3. Step 3: Cross multiply
    13,057x = 30,817 × 30,817
  4. Step 4: Simplify right side
    13,057x = 949,687,489
  5. Step 5: Solve for x
    x = 949,687,489/13,057
  6. Step 6: Final answer
    x = 72,733.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.