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Finding the Third Proportional to 41,894 and 55,064

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Solution

The third proportional to 41,894 and 55,064 is: 72,374.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,894 : 55,064 = 55,064 : x
  2. Step 2: Convert to fraction form
    41,894/55,064 = 55,064/x
  3. Step 3: Cross multiply
    41,894x = 55,064 × 55,064
  4. Step 4: Simplify right side
    41,894x = 3,032,044,096
  5. Step 5: Solve for x
    x = 3,032,044,096/41,894
  6. Step 6: Final answer
    x = 72,374.18

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.