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Finding the Third Proportional to 13,880 and 32,768

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Solution

The third proportional to 13,880 and 32,768 is: 77,358.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,880 : 32,768 = 32,768 : x
  2. Step 2: Convert to fraction form
    13,880/32,768 = 32,768/x
  3. Step 3: Cross multiply
    13,880x = 32,768 × 32,768
  4. Step 4: Simplify right side
    13,880x = 1,073,741,824
  5. Step 5: Solve for x
    x = 1,073,741,824/13,880
  6. Step 6: Final answer
    x = 77,358.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.