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Finding the Third Proportional to 35,124 and 48,782

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Solution

The third proportional to 35,124 and 48,782 is: 67,750.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,124 : 48,782 = 48,782 : x
  2. Step 2: Convert to fraction form
    35,124/48,782 = 48,782/x
  3. Step 3: Cross multiply
    35,124x = 48,782 × 48,782
  4. Step 4: Simplify right side
    35,124x = 2,379,683,524
  5. Step 5: Solve for x
    x = 2,379,683,524/35,124
  6. Step 6: Final answer
    x = 67,750.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.