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Finding the Third Proportional to 41,083 and 62,069

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Solution

The third proportional to 41,083 and 62,069 is: 93,775.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,083 : 62,069 = 62,069 : x
  2. Step 2: Convert to fraction form
    41,083/62,069 = 62,069/x
  3. Step 3: Cross multiply
    41,083x = 62,069 × 62,069
  4. Step 4: Simplify right side
    41,083x = 3,852,560,761
  5. Step 5: Solve for x
    x = 3,852,560,761/41,083
  6. Step 6: Final answer
    x = 93,775.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.