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Finding the Third Proportional to 28.63 and 51.50

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Solution

The third proportional to 28.63 and 51.50 is: 92.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.63 : 51.50 = 51.50 : x
  2. Step 2: Convert to fraction form
    28.63/51.50 = 51.50/x
  3. Step 3: Cross multiply
    28.63x = 51.50 × 51.50
  4. Step 4: Simplify right side
    28.63x = 2,652.25
  5. Step 5: Solve for x
    x = 2,652.25/28.63
  6. Step 6: Final answer
    x = 92.66

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.