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Finding the Third Proportional to 21.23 and 29.32

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Solution

The third proportional to 21.23 and 29.32 is: 40.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.23 : 29.32 = 29.32 : x
  2. Step 2: Convert to fraction form
    21.23/29.32 = 29.32/x
  3. Step 3: Cross multiply
    21.23x = 29.32 × 29.32
  4. Step 4: Simplify right side
    21.23x = 859.68
  5. Step 5: Solve for x
    x = 859.68/21.23
  6. Step 6: Final answer
    x = 40.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.