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Finding the Third Proportional to 32,768 and 47,616

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Solution

The third proportional to 32,768 and 47,616 is: 69,192

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,768 : 47,616 = 47,616 : x
  2. Step 2: Convert to fraction form
    32,768/47,616 = 47,616/x
  3. Step 3: Cross multiply
    32,768x = 47,616 × 47,616
  4. Step 4: Simplify right side
    32,768x = 2,267,283,456
  5. Step 5: Solve for x
    x = 2,267,283,456/32,768
  6. Step 6: Final answer
    x = 69,192

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.