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Finding the Third Proportional to 47,838 and 104,796

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Solution

The third proportional to 47,838 and 104,796 is: 229,570.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,838 : 104,796 = 104,796 : x
  2. Step 2: Convert to fraction form
    47,838/104,796 = 104,796/x
  3. Step 3: Cross multiply
    47,838x = 104,796 × 104,796
  4. Step 4: Simplify right side
    47,838x = 10,982,201,616
  5. Step 5: Solve for x
    x = 10,982,201,616/47,838
  6. Step 6: Final answer
    x = 229,570.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.