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Finding the Third Proportional to 41,621.34 and 65,020.54

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Solution

The third proportional to 41,621.34 and 65,020.54 is: 101,574.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,621.34 : 65,020.54 = 65,020.54 : x
  2. Step 2: Convert to fraction form
    41,621.34/65,020.54 = 65,020.54/x
  3. Step 3: Cross multiply
    41,621.34x = 65,020.54 × 65,020.54
  4. Step 4: Simplify right side
    41,621.34x = 4,227,669,992.01
  5. Step 5: Solve for x
    x = 4,227,669,992.01/41,621.34
  6. Step 6: Final answer
    x = 101,574.57

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.