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Finding the Third Proportional to 41,837.63 and 63,738.09

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Solution

The third proportional to 41,837.63 and 63,738.09 is: 97,102.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,837.63 : 63,738.09 = 63,738.09 : x
  2. Step 2: Convert to fraction form
    41,837.63/63,738.09 = 63,738.09/x
  3. Step 3: Cross multiply
    41,837.63x = 63,738.09 × 63,738.09
  4. Step 4: Simplify right side
    41,837.63x = 4,062,544,594.88
  5. Step 5: Solve for x
    x = 4,062,544,594.88/41,837.63
  6. Step 6: Final answer
    x = 97,102.66

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.