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Finding the Third Proportional to 5.51 and 14.47

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Solution

The third proportional to 5.51 and 14.47 is: 38.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.51 : 14.47 = 14.47 : x
  2. Step 2: Convert to fraction form
    5.51/14.47 = 14.47/x
  3. Step 3: Cross multiply
    5.51x = 14.47 × 14.47
  4. Step 4: Simplify right side
    5.51x = 209.45
  5. Step 5: Solve for x
    x = 209.45/5.51
  6. Step 6: Final answer
    x = 38.00

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.