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Finding the Third Proportional to 51,816.50 and 77,404

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Solution

The third proportional to 51,816.50 and 77,404 is: 115,626.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,816.50 : 77,404 = 77,404 : x
  2. Step 2: Convert to fraction form
    51,816.50/77,404 = 77,404/x
  3. Step 3: Cross multiply
    51,816.50x = 77,404 × 77,404
  4. Step 4: Simplify right side
    51,816.50x = 5,991,379,216
  5. Step 5: Solve for x
    x = 5,991,379,216/51,816.50
  6. Step 6: Final answer
    x = 115,626.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.