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Finding the Third Proportional to 32,728 and 49,700

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Solution

The third proportional to 32,728 and 49,700 is: 75,473.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,728 : 49,700 = 49,700 : x
  2. Step 2: Convert to fraction form
    32,728/49,700 = 49,700/x
  3. Step 3: Cross multiply
    32,728x = 49,700 × 49,700
  4. Step 4: Simplify right side
    32,728x = 2,470,090,000
  5. Step 5: Solve for x
    x = 2,470,090,000/32,728
  6. Step 6: Final answer
    x = 75,473.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.