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Finding the Third Proportional to 19,969 and 30,317

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Solution

The third proportional to 19,969 and 30,317 is: 46,027.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,969 : 30,317 = 30,317 : x
  2. Step 2: Convert to fraction form
    19,969/30,317 = 30,317/x
  3. Step 3: Cross multiply
    19,969x = 30,317 × 30,317
  4. Step 4: Simplify right side
    19,969x = 919,120,489
  5. Step 5: Solve for x
    x = 919,120,489/19,969
  6. Step 6: Final answer
    x = 46,027.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.