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Finding the Third Proportional to 29,040.75 and 37,977.75

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Solution

The third proportional to 29,040.75 and 37,977.75 is: 49,665.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,040.75 : 37,977.75 = 37,977.75 : x
  2. Step 2: Convert to fraction form
    29,040.75/37,977.75 = 37,977.75/x
  3. Step 3: Cross multiply
    29,040.75x = 37,977.75 × 37,977.75
  4. Step 4: Simplify right side
    29,040.75x = 1,442,309,495.06
  5. Step 5: Solve for x
    x = 1,442,309,495.06/29,040.75
  6. Step 6: Final answer
    x = 49,665.02

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.