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Finding the Third Proportional to 41,840 and 55,464

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Solution

The third proportional to 41,840 and 55,464 is: 73,524.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,840 : 55,464 = 55,464 : x
  2. Step 2: Convert to fraction form
    41,840/55,464 = 55,464/x
  3. Step 3: Cross multiply
    41,840x = 55,464 × 55,464
  4. Step 4: Simplify right side
    41,840x = 3,076,255,296
  5. Step 5: Solve for x
    x = 3,076,255,296/41,840
  6. Step 6: Final answer
    x = 73,524.27

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.