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Finding the Third Proportional to 9.75 and 21.75

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Solution

The third proportional to 9.75 and 21.75 is: 48.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.75 : 21.75 = 21.75 : x
  2. Step 2: Convert to fraction form
    9.75/21.75 = 21.75/x
  3. Step 3: Cross multiply
    9.75x = 21.75 × 21.75
  4. Step 4: Simplify right side
    9.75x = 473.06
  5. Step 5: Solve for x
    x = 473.06/9.75
  6. Step 6: Final answer
    x = 48.52

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.