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Finding the Third Proportional to 41,751.75 and 64,661.63

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Solution

The third proportional to 41,751.75 and 64,661.63 is: 100,142.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,751.75 : 64,661.63 = 64,661.63 : x
  2. Step 2: Convert to fraction form
    41,751.75/64,661.63 = 64,661.63/x
  3. Step 3: Cross multiply
    41,751.75x = 64,661.63 × 64,661.63
  4. Step 4: Simplify right side
    41,751.75x = 4,181,125,747.64
  5. Step 5: Solve for x
    x = 4,181,125,747.64/41,751.75
  6. Step 6: Final answer
    x = 100,142.53

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.