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Finding the Third Proportional to 25,026.63 and 50,745.23

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Solution

The third proportional to 25,026.63 and 50,745.23 is: 102,893.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,026.63 : 50,745.23 = 50,745.23 : x
  2. Step 2: Convert to fraction form
    25,026.63/50,745.23 = 50,745.23/x
  3. Step 3: Cross multiply
    25,026.63x = 50,745.23 × 50,745.23
  4. Step 4: Simplify right side
    25,026.63x = 2,575,078,811.77
  5. Step 5: Solve for x
    x = 2,575,078,811.77/25,026.63
  6. Step 6: Final answer
    x = 102,893.56

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.