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Finding the Third Proportional to 24.75 and 51.50

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Solution

The third proportional to 24.75 and 51.50 is: 107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.75 : 51.50 = 51.50 : x
  2. Step 2: Convert to fraction form
    24.75/51.50 = 51.50/x
  3. Step 3: Cross multiply
    24.75x = 51.50 × 51.50
  4. Step 4: Simplify right side
    24.75x = 2,652.25
  5. Step 5: Solve for x
    x = 2,652.25/24.75
  6. Step 6: Final answer
    x = 107.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.