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Finding the Third Proportional to 19,116 and 41,256

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Solution

The third proportional to 19,116 and 41,256 is: 89,038.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,116 : 41,256 = 41,256 : x
  2. Step 2: Convert to fraction form
    19,116/41,256 = 41,256/x
  3. Step 3: Cross multiply
    19,116x = 41,256 × 41,256
  4. Step 4: Simplify right side
    19,116x = 1,702,057,536
  5. Step 5: Solve for x
    x = 1,702,057,536/19,116
  6. Step 6: Final answer
    x = 89,038.37

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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.