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Finding the Third Proportional to 14,236 and 32,768

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Solution

The third proportional to 14,236 and 32,768 is: 75,424.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,236 : 32,768 = 32,768 : x
  2. Step 2: Convert to fraction form
    14,236/32,768 = 32,768/x
  3. Step 3: Cross multiply
    14,236x = 32,768 × 32,768
  4. Step 4: Simplify right side
    14,236x = 1,073,741,824
  5. Step 5: Solve for x
    x = 1,073,741,824/14,236
  6. Step 6: Final answer
    x = 75,424.40

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.