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Finding the Third Proportional to 37,078 and 54,219

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Solution

The third proportional to 37,078 and 54,219 is: 79,284.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,078 : 54,219 = 54,219 : x
  2. Step 2: Convert to fraction form
    37,078/54,219 = 54,219/x
  3. Step 3: Cross multiply
    37,078x = 54,219 × 54,219
  4. Step 4: Simplify right side
    37,078x = 2,939,699,961
  5. Step 5: Solve for x
    x = 2,939,699,961/37,078
  6. Step 6: Final answer
    x = 79,284.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.