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Finding the Third Proportional to 14.87 and 35.26

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Solution

The third proportional to 14.87 and 35.26 is: 83.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.87 : 35.26 = 35.26 : x
  2. Step 2: Convert to fraction form
    14.87/35.26 = 35.26/x
  3. Step 3: Cross multiply
    14.87x = 35.26 × 35.26
  4. Step 4: Simplify right side
    14.87x = 1,243.58
  5. Step 5: Solve for x
    x = 1,243.58/14.87
  6. Step 6: Final answer
    x = 83.66

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.