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Finding the Third Proportional to 50,026.50 and 76,311

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Solution

The third proportional to 50,026.50 and 76,311 is: 116,405.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,026.50 : 76,311 = 76,311 : x
  2. Step 2: Convert to fraction form
    50,026.50/76,311 = 76,311/x
  3. Step 3: Cross multiply
    50,026.50x = 76,311 × 76,311
  4. Step 4: Simplify right side
    50,026.50x = 5,823,368,721
  5. Step 5: Solve for x
    x = 5,823,368,721/50,026.50
  6. Step 6: Final answer
    x = 116,405.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.