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Finding the Third Proportional to 28,242 and 55,775.25

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Solution

The third proportional to 28,242 and 55,775.25 is: 110,150.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,242 : 55,775.25 = 55,775.25 : x
  2. Step 2: Convert to fraction form
    28,242/55,775.25 = 55,775.25/x
  3. Step 3: Cross multiply
    28,242x = 55,775.25 × 55,775.25
  4. Step 4: Simplify right side
    28,242x = 3,110,878,512.56
  5. Step 5: Solve for x
    x = 3,110,878,512.56/28,242
  6. Step 6: Final answer
    x = 110,150.79

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.