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Finding the Third Proportional to 14.56 and 30.91

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Solution

The third proportional to 14.56 and 30.91 is: 65.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.56 : 30.91 = 30.91 : x
  2. Step 2: Convert to fraction form
    14.56/30.91 = 30.91/x
  3. Step 3: Cross multiply
    14.56x = 30.91 × 30.91
  4. Step 4: Simplify right side
    14.56x = 955.20
  5. Step 5: Solve for x
    x = 955.20/14.56
  6. Step 6: Final answer
    x = 65.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.