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Finding the Third Proportional to 49,351.50 and 70,336.13

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Solution

The third proportional to 49,351.50 and 70,336.13 is: 100,243.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,351.50 : 70,336.13 = 70,336.13 : x
  2. Step 2: Convert to fraction form
    49,351.50/70,336.13 = 70,336.13/x
  3. Step 3: Cross multiply
    49,351.50x = 70,336.13 × 70,336.13
  4. Step 4: Simplify right side
    49,351.50x = 4,947,170,480.02
  5. Step 5: Solve for x
    x = 4,947,170,480.02/49,351.50
  6. Step 6: Final answer
    x = 100,243.57

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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.