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Finding the Third Proportional to 37,064 and 54,616

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Solution

The third proportional to 37,064 and 54,616 is: 80,479.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,064 : 54,616 = 54,616 : x
  2. Step 2: Convert to fraction form
    37,064/54,616 = 54,616/x
  3. Step 3: Cross multiply
    37,064x = 54,616 × 54,616
  4. Step 4: Simplify right side
    37,064x = 2,982,907,456
  5. Step 5: Solve for x
    x = 2,982,907,456/37,064
  6. Step 6: Final answer
    x = 80,479.91

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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.