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Finding the Third Proportional to 49,435.50 and 106,647

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Solution

The third proportional to 49,435.50 and 106,647 is: 230,069.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,435.50 : 106,647 = 106,647 : x
  2. Step 2: Convert to fraction form
    49,435.50/106,647 = 106,647/x
  3. Step 3: Cross multiply
    49,435.50x = 106,647 × 106,647
  4. Step 4: Simplify right side
    49,435.50x = 11,373,582,609
  5. Step 5: Solve for x
    x = 11,373,582,609/49,435.50
  6. Step 6: Final answer
    x = 230,069.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.