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Finding the Third Proportional to 19,838 and 43,317

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Solution

The third proportional to 19,838 and 43,317 is: 94,584.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838 : 43,317 = 43,317 : x
  2. Step 2: Convert to fraction form
    19,838/43,317 = 43,317/x
  3. Step 3: Cross multiply
    19,838x = 43,317 × 43,317
  4. Step 4: Simplify right side
    19,838x = 1,876,362,489
  5. Step 5: Solve for x
    x = 1,876,362,489/19,838
  6. Step 6: Final answer
    x = 94,584.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.