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Finding the Third Proportional to 9.93 and 22.43

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Solution

The third proportional to 9.93 and 22.43 is: 50.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.93 : 22.43 = 22.43 : x
  2. Step 2: Convert to fraction form
    9.93/22.43 = 22.43/x
  3. Step 3: Cross multiply
    9.93x = 22.43 × 22.43
  4. Step 4: Simplify right side
    9.93x = 503.25
  5. Step 5: Solve for x
    x = 503.25/9.93
  6. Step 6: Final answer
    x = 50.67

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.