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Finding the Third Proportional to 37,035 and 55,873

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Solution

The third proportional to 37,035 and 55,873 is: 84,293.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,035 : 55,873 = 55,873 : x
  2. Step 2: Convert to fraction form
    37,035/55,873 = 55,873/x
  3. Step 3: Cross multiply
    37,035x = 55,873 × 55,873
  4. Step 4: Simplify right side
    37,035x = 3,121,792,129
  5. Step 5: Solve for x
    x = 3,121,792,129/37,035
  6. Step 6: Final answer
    x = 84,293.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.