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Finding the Third Proportional to 38,139.75 and 55,022.63

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Solution

The third proportional to 38,139.75 and 55,022.63 is: 79,378.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,139.75 : 55,022.63 = 55,022.63 : x
  2. Step 2: Convert to fraction form
    38,139.75/55,022.63 = 55,022.63/x
  3. Step 3: Cross multiply
    38,139.75x = 55,022.63 × 55,022.63
  4. Step 4: Simplify right side
    38,139.75x = 3,027,489,261.89
  5. Step 5: Solve for x
    x = 3,027,489,261.89/38,139.75
  6. Step 6: Final answer
    x = 79,378.84

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.