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Finding the Third Proportional to 51.50 and 77.60

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Solution

The third proportional to 51.50 and 77.60 is: 116.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.50 : 77.60 = 77.60 : x
  2. Step 2: Convert to fraction form
    51.50/77.60 = 77.60/x
  3. Step 3: Cross multiply
    51.50x = 77.60 × 77.60
  4. Step 4: Simplify right side
    51.50x = 6,021.55
  5. Step 5: Solve for x
    x = 6,021.55/51.50
  6. Step 6: Final answer
    x = 116.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.