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Finding the Third Proportional to 21.56 and 46.31

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Solution

The third proportional to 21.56 and 46.31 is: 99.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.56 : 46.31 = 46.31 : x
  2. Step 2: Convert to fraction form
    21.56/46.31 = 46.31/x
  3. Step 3: Cross multiply
    21.56x = 46.31 × 46.31
  4. Step 4: Simplify right side
    21.56x = 2,144.85
  5. Step 5: Solve for x
    x = 2,144.85/21.56
  6. Step 6: Final answer
    x = 99.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.