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Finding the Third Proportional to 37,983 and 55,308.75

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Solution

The third proportional to 37,983 and 55,308.75 is: 80,537.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,983 : 55,308.75 = 55,308.75 : x
  2. Step 2: Convert to fraction form
    37,983/55,308.75 = 55,308.75/x
  3. Step 3: Cross multiply
    37,983x = 55,308.75 × 55,308.75
  4. Step 4: Simplify right side
    37,983x = 3,059,057,826.56
  5. Step 5: Solve for x
    x = 3,059,057,826.56/37,983
  6. Step 6: Final answer
    x = 80,537.55

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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.