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Finding the Third Proportional to 23.22 and 46.53

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Solution

The third proportional to 23.22 and 46.53 is: 93.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.22 : 46.53 = 46.53 : x
  2. Step 2: Convert to fraction form
    23.22/46.53 = 46.53/x
  3. Step 3: Cross multiply
    23.22x = 46.53 × 46.53
  4. Step 4: Simplify right side
    23.22x = 2,165.16
  5. Step 5: Solve for x
    x = 2,165.16/23.22
  6. Step 6: Final answer
    x = 93.25

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.