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Finding the Third Proportional to 41,480 and 57,036

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Solution

The third proportional to 41,480 and 57,036 is: 78,425.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,480 : 57,036 = 57,036 : x
  2. Step 2: Convert to fraction form
    41,480/57,036 = 57,036/x
  3. Step 3: Cross multiply
    41,480x = 57,036 × 57,036
  4. Step 4: Simplify right side
    41,480x = 3,253,105,296
  5. Step 5: Solve for x
    x = 3,253,105,296/41,480
  6. Step 6: Final answer
    x = 78,425.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.