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Finding the Third Proportional to 47,804 and 94,424

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Solution

The third proportional to 47,804 and 94,424 is: 186,509.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,804 : 94,424 = 94,424 : x
  2. Step 2: Convert to fraction form
    47,804/94,424 = 94,424/x
  3. Step 3: Cross multiply
    47,804x = 94,424 × 94,424
  4. Step 4: Simplify right side
    47,804x = 8,915,891,776
  5. Step 5: Solve for x
    x = 8,915,891,776/47,804
  6. Step 6: Final answer
    x = 186,509.33

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.