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Finding the Third Proportional to 14.56 and 22.06

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Solution

The third proportional to 14.56 and 22.06 is: 33.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.56 : 22.06 = 22.06 : x
  2. Step 2: Convert to fraction form
    14.56/22.06 = 22.06/x
  3. Step 3: Cross multiply
    14.56x = 22.06 × 22.06
  4. Step 4: Simplify right side
    14.56x = 486.75
  5. Step 5: Solve for x
    x = 486.75/14.56
  6. Step 6: Final answer
    x = 33.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.