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Finding the Third Proportional to 23,976.32 and 37,611.13

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Solution

The third proportional to 23,976.32 and 37,611.13 is: 58,999.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,976.32 : 37,611.13 = 37,611.13 : x
  2. Step 2: Convert to fraction form
    23,976.32/37,611.13 = 37,611.13/x
  3. Step 3: Cross multiply
    23,976.32x = 37,611.13 × 37,611.13
  4. Step 4: Simplify right side
    23,976.32x = 1,414,597,237.98
  5. Step 5: Solve for x
    x = 1,414,597,237.98/23,976.32
  6. Step 6: Final answer
    x = 58,999.77

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.