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Finding the Third Proportional to 49,608 and 70,722

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Solution

The third proportional to 49,608 and 70,722 is: 100,822.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,608 : 70,722 = 70,722 : x
  2. Step 2: Convert to fraction form
    49,608/70,722 = 70,722/x
  3. Step 3: Cross multiply
    49,608x = 70,722 × 70,722
  4. Step 4: Simplify right side
    49,608x = 5,001,601,284
  5. Step 5: Solve for x
    x = 5,001,601,284/49,608
  6. Step 6: Final answer
    x = 100,822.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.