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Finding the Third Proportional to 14 and 32

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Solution

The third proportional to 14 and 32 is: 73.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14 : 32 = 32 : x
  2. Step 2: Convert to fraction form
    14/32 = 32/x
  3. Step 3: Cross multiply
    14x = 32 × 32
  4. Step 4: Simplify right side
    14x = 1,024
  5. Step 5: Solve for x
    x = 1,024/14
  6. Step 6: Final answer
    x = 73.14

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.