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Finding the Third Proportional to 47,974 and 103,628

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Solution

The third proportional to 47,974 and 103,628 is: 223,845.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,974 : 103,628 = 103,628 : x
  2. Step 2: Convert to fraction form
    47,974/103,628 = 103,628/x
  3. Step 3: Cross multiply
    47,974x = 103,628 × 103,628
  4. Step 4: Simplify right side
    47,974x = 10,738,762,384
  5. Step 5: Solve for x
    x = 10,738,762,384/47,974
  6. Step 6: Final answer
    x = 223,845.47

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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.