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Finding the Third Proportional to 19,175 and 41,083

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Solution

The third proportional to 19,175 and 41,083 is: 88,021.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,175 : 41,083 = 41,083 : x
  2. Step 2: Convert to fraction form
    19,175/41,083 = 41,083/x
  3. Step 3: Cross multiply
    19,175x = 41,083 × 41,083
  4. Step 4: Simplify right side
    19,175x = 1,687,812,889
  5. Step 5: Solve for x
    x = 1,687,812,889/19,175
  6. Step 6: Final answer
    x = 88,021.53

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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.