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Finding the Third Proportional to 9,256 and 19,058

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Solution

The third proportional to 9,256 and 19,058 is: 39,240.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256 : 19,058 = 19,058 : x
  2. Step 2: Convert to fraction form
    9,256/19,058 = 19,058/x
  3. Step 3: Cross multiply
    9,256x = 19,058 × 19,058
  4. Step 4: Simplify right side
    9,256x = 363,207,364
  5. Step 5: Solve for x
    x = 363,207,364/9,256
  6. Step 6: Final answer
    x = 39,240.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.