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Finding the Third Proportional to 35,837.44 and 56,922.75

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Solution

The third proportional to 35,837.44 and 56,922.75 is: 90,413.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,837.44 : 56,922.75 = 56,922.75 : x
  2. Step 2: Convert to fraction form
    35,837.44/56,922.75 = 56,922.75/x
  3. Step 3: Cross multiply
    35,837.44x = 56,922.75 × 56,922.75
  4. Step 4: Simplify right side
    35,837.44x = 3,240,199,467.56
  5. Step 5: Solve for x
    x = 3,240,199,467.56/35,837.44
  6. Step 6: Final answer
    x = 90,413.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.