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Finding the Third Proportional to 41,080.50 and 53,946

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Solution

The third proportional to 41,080.50 and 53,946 is: 70,840.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,080.50 : 53,946 = 53,946 : x
  2. Step 2: Convert to fraction form
    41,080.50/53,946 = 53,946/x
  3. Step 3: Cross multiply
    41,080.50x = 53,946 × 53,946
  4. Step 4: Simplify right side
    41,080.50x = 2,910,170,916
  5. Step 5: Solve for x
    x = 2,910,170,916/41,080.50
  6. Step 6: Final answer
    x = 70,840.69

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