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Finding the Third Proportional to 23.09 and 47.83

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Solution

The third proportional to 23.09 and 47.83 is: 99.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.09 : 47.83 = 47.83 : x
  2. Step 2: Convert to fraction form
    23.09/47.83 = 47.83/x
  3. Step 3: Cross multiply
    23.09x = 47.83 × 47.83
  4. Step 4: Simplify right side
    23.09x = 2,287.55
  5. Step 5: Solve for x
    x = 2,287.55/23.09
  6. Step 6: Final answer
    x = 99.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.