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Finding the Third Proportional to 21.09 and 31.92

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Solution

The third proportional to 21.09 and 31.92 is: 48.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.09 : 31.92 = 31.92 : x
  2. Step 2: Convert to fraction form
    21.09/31.92 = 31.92/x
  3. Step 3: Cross multiply
    21.09x = 31.92 × 31.92
  4. Step 4: Simplify right side
    21.09x = 1,019.01
  5. Step 5: Solve for x
    x = 1,019.01/21.09
  6. Step 6: Final answer
    x = 48.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.