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Finding the Third Proportional to 19,149 and 41,862

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Solution

The third proportional to 19,149 and 41,862 is: 91,515.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,149 : 41,862 = 41,862 : x
  2. Step 2: Convert to fraction form
    19,149/41,862 = 41,862/x
  3. Step 3: Cross multiply
    19,149x = 41,862 × 41,862
  4. Step 4: Simplify right side
    19,149x = 1,752,427,044
  5. Step 5: Solve for x
    x = 1,752,427,044/19,149
  6. Step 6: Final answer
    x = 91,515.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.