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Finding the Third Proportional to 26,520.75 and 30,408.75

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Solution

The third proportional to 26,520.75 and 30,408.75 is: 34,866.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,520.75 : 30,408.75 = 30,408.75 : x
  2. Step 2: Convert to fraction form
    26,520.75/30,408.75 = 30,408.75/x
  3. Step 3: Cross multiply
    26,520.75x = 30,408.75 × 30,408.75
  4. Step 4: Simplify right side
    26,520.75x = 924,692,076.56
  5. Step 5: Solve for x
    x = 924,692,076.56/26,520.75
  6. Step 6: Final answer
    x = 34,866.74

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.