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Finding the Third Proportional to 9.93 and 23.63

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Solution

The third proportional to 9.93 and 23.63 is: 56.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.93 : 23.63 = 23.63 : x
  2. Step 2: Convert to fraction form
    9.93/23.63 = 23.63/x
  3. Step 3: Cross multiply
    9.93x = 23.63 × 23.63
  4. Step 4: Simplify right side
    9.93x = 558.47
  5. Step 5: Solve for x
    x = 558.47/9.93
  6. Step 6: Final answer
    x = 56.23

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.