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Finding the Third Proportional to 15,838 and 34,268

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Solution

The third proportional to 15,838 and 34,268 is: 74,144.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838 : 34,268 = 34,268 : x
  2. Step 2: Convert to fraction form
    15,838/34,268 = 34,268/x
  3. Step 3: Cross multiply
    15,838x = 34,268 × 34,268
  4. Step 4: Simplify right side
    15,838x = 1,174,295,824
  5. Step 5: Solve for x
    x = 1,174,295,824/15,838
  6. Step 6: Final answer
    x = 74,144.20

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.