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Finding the Third Proportional to 38,022.75 and 55,589.63

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Solution

The third proportional to 38,022.75 and 55,589.63 is: 81,272.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,022.75 : 55,589.63 = 55,589.63 : x
  2. Step 2: Convert to fraction form
    38,022.75/55,589.63 = 55,589.63/x
  3. Step 3: Cross multiply
    38,022.75x = 55,589.63 × 55,589.63
  4. Step 4: Simplify right side
    38,022.75x = 3,090,206,407.64
  5. Step 5: Solve for x
    x = 3,090,206,407.64/38,022.75
  6. Step 6: Final answer
    x = 81,272.56

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Why These Related Problems?

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