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Finding the Third Proportional to 21.15 and 29.56

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Solution

The third proportional to 21.15 and 29.56 is: 41.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.15 : 29.56 = 29.56 : x
  2. Step 2: Convert to fraction form
    21.15/29.56 = 29.56/x
  3. Step 3: Cross multiply
    21.15x = 29.56 × 29.56
  4. Step 4: Simplify right side
    21.15x = 873.68
  5. Step 5: Solve for x
    x = 873.68/21.15
  6. Step 6: Final answer
    x = 41.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.