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Finding the Third Proportional to 21.48 and 46.93

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Solution

The third proportional to 21.48 and 46.93 is: 102.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.48 : 46.93 = 46.93 : x
  2. Step 2: Convert to fraction form
    21.48/46.93 = 46.93/x
  3. Step 3: Cross multiply
    21.48x = 46.93 × 46.93
  4. Step 4: Simplify right side
    21.48x = 2,202.14
  5. Step 5: Solve for x
    x = 2,202.14/21.48
  6. Step 6: Final answer
    x = 102.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.