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Finding the Third Proportional to 19,629 and 41,955

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Solution

The third proportional to 19,629 and 41,955 is: 89,674.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,629 : 41,955 = 41,955 : x
  2. Step 2: Convert to fraction form
    19,629/41,955 = 41,955/x
  3. Step 3: Cross multiply
    19,629x = 41,955 × 41,955
  4. Step 4: Simplify right side
    19,629x = 1,760,222,025
  5. Step 5: Solve for x
    x = 1,760,222,025/19,629
  6. Step 6: Final answer
    x = 89,674.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.