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Finding the Third Proportional to 21.09 and 31.85

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Solution

The third proportional to 21.09 and 31.85 is: 48.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.09 : 31.85 = 31.85 : x
  2. Step 2: Convert to fraction form
    21.09/31.85 = 31.85/x
  3. Step 3: Cross multiply
    21.09x = 31.85 × 31.85
  4. Step 4: Simplify right side
    21.09x = 1,014.52
  5. Step 5: Solve for x
    x = 1,014.52/21.09
  6. Step 6: Final answer
    x = 48.10

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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.