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Finding the Third Proportional to 37,643.06 and 55,051.31

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Solution

The third proportional to 37,643.06 and 55,051.31 is: 80,510.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,643.06 : 55,051.31 = 55,051.31 : x
  2. Step 2: Convert to fraction form
    37,643.06/55,051.31 = 55,051.31/x
  3. Step 3: Cross multiply
    37,643.06x = 55,051.31 × 55,051.31
  4. Step 4: Simplify right side
    37,643.06x = 3,030,647,007.97
  5. Step 5: Solve for x
    x = 3,030,647,007.97/37,643.06
  6. Step 6: Final answer
    x = 80,510.11

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.