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Finding the Third Proportional to 37,023.75 and 54,033.75

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Solution

The third proportional to 37,023.75 and 54,033.75 is: 78,858.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,023.75 : 54,033.75 = 54,033.75 : x
  2. Step 2: Convert to fraction form
    37,023.75/54,033.75 = 54,033.75/x
  3. Step 3: Cross multiply
    37,023.75x = 54,033.75 × 54,033.75
  4. Step 4: Simplify right side
    37,023.75x = 2,919,646,139.06
  5. Step 5: Solve for x
    x = 2,919,646,139.06/37,023.75
  6. Step 6: Final answer
    x = 78,858.74

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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.