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Finding the Third Proportional to 31,775.06 and 69,083.44

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Solution

The third proportional to 31,775.06 and 69,083.44 is: 150,197.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,775.06 : 69,083.44 = 69,083.44 : x
  2. Step 2: Convert to fraction form
    31,775.06/69,083.44 = 69,083.44/x
  3. Step 3: Cross multiply
    31,775.06x = 69,083.44 × 69,083.44
  4. Step 4: Simplify right side
    31,775.06x = 4,772,521,336.82
  5. Step 5: Solve for x
    x = 4,772,521,336.82/31,775.06
  6. Step 6: Final answer
    x = 150,197.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.