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Finding the Third Proportional to 23.10 and 49.99

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Solution

The third proportional to 23.10 and 49.99 is: 108.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.10 : 49.99 = 49.99 : x
  2. Step 2: Convert to fraction form
    23.10/49.99 = 49.99/x
  3. Step 3: Cross multiply
    23.10x = 49.99 × 49.99
  4. Step 4: Simplify right side
    23.10x = 2,499.22
  5. Step 5: Solve for x
    x = 2,499.22/23.10
  6. Step 6: Final answer
    x = 108.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.