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Finding the Third Proportional to 9.95 and 23.68

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Solution

The third proportional to 9.95 and 23.68 is: 56.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.95 : 23.68 = 23.68 : x
  2. Step 2: Convert to fraction form
    9.95/23.68 = 23.68/x
  3. Step 3: Cross multiply
    9.95x = 23.68 × 23.68
  4. Step 4: Simplify right side
    9.95x = 560.80
  5. Step 5: Solve for x
    x = 560.80/9.95
  6. Step 6: Final answer
    x = 56.35

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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.