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Finding the Third Proportional to 10.03 and 23.27

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Solution

The third proportional to 10.03 and 23.27 is: 54.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.03 : 23.27 = 23.27 : x
  2. Step 2: Convert to fraction form
    10.03/23.27 = 23.27/x
  3. Step 3: Cross multiply
    10.03x = 23.27 × 23.27
  4. Step 4: Simplify right side
    10.03x = 541.65
  5. Step 5: Solve for x
    x = 541.65/10.03
  6. Step 6: Final answer
    x = 54.00

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.