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Finding the Third Proportional to 41,064 and 61,324

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Solution

The third proportional to 41,064 and 61,324 is: 91,579.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,064 : 61,324 = 61,324 : x
  2. Step 2: Convert to fraction form
    41,064/61,324 = 61,324/x
  3. Step 3: Cross multiply
    41,064x = 61,324 × 61,324
  4. Step 4: Simplify right side
    41,064x = 3,760,632,976
  5. Step 5: Solve for x
    x = 3,760,632,976/41,064
  6. Step 6: Final answer
    x = 91,579.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.