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Finding the Third Proportional to 10.75 and 23.50

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Solution

The third proportional to 10.75 and 23.50 is: 51.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.75 : 23.50 = 23.50 : x
  2. Step 2: Convert to fraction form
    10.75/23.50 = 23.50/x
  3. Step 3: Cross multiply
    10.75x = 23.50 × 23.50
  4. Step 4: Simplify right side
    10.75x = 552.25
  5. Step 5: Solve for x
    x = 552.25/10.75
  6. Step 6: Final answer
    x = 51.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.