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Finding the Third Proportional to 20,804 and 47,498

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Solution

The third proportional to 20,804 and 47,498 is: 108,443.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,804 : 47,498 = 47,498 : x
  2. Step 2: Convert to fraction form
    20,804/47,498 = 47,498/x
  3. Step 3: Cross multiply
    20,804x = 47,498 × 47,498
  4. Step 4: Simplify right side
    20,804x = 2,256,060,004
  5. Step 5: Solve for x
    x = 2,256,060,004/20,804
  6. Step 6: Final answer
    x = 108,443.57

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.