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Finding the Third Proportional to 17,138.25 and 25,889.63

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Solution

The third proportional to 17,138.25 and 25,889.63 is: 39,109.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,138.25 : 25,889.63 = 25,889.63 : x
  2. Step 2: Convert to fraction form
    17,138.25/25,889.63 = 25,889.63/x
  3. Step 3: Cross multiply
    17,138.25x = 25,889.63 × 25,889.63
  4. Step 4: Simplify right side
    17,138.25x = 670,272,682.64
  5. Step 5: Solve for x
    x = 670,272,682.64/17,138.25
  6. Step 6: Final answer
    x = 39,109.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.