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Finding the Third Proportional to 47,823 and 70,198

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Solution

The third proportional to 47,823 and 70,198 is: 103,041.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,823 : 70,198 = 70,198 : x
  2. Step 2: Convert to fraction form
    47,823/70,198 = 70,198/x
  3. Step 3: Cross multiply
    47,823x = 70,198 × 70,198
  4. Step 4: Simplify right side
    47,823x = 4,927,759,204
  5. Step 5: Solve for x
    x = 4,927,759,204/47,823
  6. Step 6: Final answer
    x = 103,041.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.