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Finding the Third Proportional to 31,254.75 and 48,408.75

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Solution

The third proportional to 31,254.75 and 48,408.75 is: 74,977.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,254.75 : 48,408.75 = 48,408.75 : x
  2. Step 2: Convert to fraction form
    31,254.75/48,408.75 = 48,408.75/x
  3. Step 3: Cross multiply
    31,254.75x = 48,408.75 × 48,408.75
  4. Step 4: Simplify right side
    31,254.75x = 2,343,407,076.56
  5. Step 5: Solve for x
    x = 2,343,407,076.56/31,254.75
  6. Step 6: Final answer
    x = 74,977.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.