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Finding the Third Proportional to 48,728 and 74,738

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Solution

The third proportional to 48,728 and 74,738 is: 114,631.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,728 : 74,738 = 74,738 : x
  2. Step 2: Convert to fraction form
    48,728/74,738 = 74,738/x
  3. Step 3: Cross multiply
    48,728x = 74,738 × 74,738
  4. Step 4: Simplify right side
    48,728x = 5,585,768,644
  5. Step 5: Solve for x
    x = 5,585,768,644/48,728
  6. Step 6: Final answer
    x = 114,631.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.