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Finding the Third Proportional to 32,768 and 49,192

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Solution

The third proportional to 32,768 and 49,192 is: 73,848.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,768 : 49,192 = 49,192 : x
  2. Step 2: Convert to fraction form
    32,768/49,192 = 49,192/x
  3. Step 3: Cross multiply
    32,768x = 49,192 × 49,192
  4. Step 4: Simplify right side
    32,768x = 2,419,852,864
  5. Step 5: Solve for x
    x = 2,419,852,864/32,768
  6. Step 6: Final answer
    x = 73,848.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.