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Finding the Third Proportional to 15.22 and 25.99

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Solution

The third proportional to 15.22 and 25.99 is: 44.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.22 : 25.99 = 25.99 : x
  2. Step 2: Convert to fraction form
    15.22/25.99 = 25.99/x
  3. Step 3: Cross multiply
    15.22x = 25.99 × 25.99
  4. Step 4: Simplify right side
    15.22x = 675.49
  5. Step 5: Solve for x
    x = 675.49/15.22
  6. Step 6: Final answer
    x = 44.37

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.