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Finding the Third Proportional to 51,661.50 and 74,409.75

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Solution

The third proportional to 51,661.50 and 74,409.75 is: 107,174.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,661.50 : 74,409.75 = 74,409.75 : x
  2. Step 2: Convert to fraction form
    51,661.50/74,409.75 = 74,409.75/x
  3. Step 3: Cross multiply
    51,661.50x = 74,409.75 × 74,409.75
  4. Step 4: Simplify right side
    51,661.50x = 5,536,810,895.06
  5. Step 5: Solve for x
    x = 5,536,810,895.06/51,661.50
  6. Step 6: Final answer
    x = 107,174.80

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.