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Finding the Third Proportional to 51,819 and 76,029

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Solution

The third proportional to 51,819 and 76,029 is: 111,549.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,819 : 76,029 = 76,029 : x
  2. Step 2: Convert to fraction form
    51,819/76,029 = 76,029/x
  3. Step 3: Cross multiply
    51,819x = 76,029 × 76,029
  4. Step 4: Simplify right side
    51,819x = 5,780,408,841
  5. Step 5: Solve for x
    x = 5,780,408,841/51,819
  6. Step 6: Final answer
    x = 111,549.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.