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Finding the Third Proportional to 7,804 and 18,850

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Solution

The third proportional to 7,804 and 18,850 is: 45,530.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804 : 18,850 = 18,850 : x
  2. Step 2: Convert to fraction form
    7,804/18,850 = 18,850/x
  3. Step 3: Cross multiply
    7,804x = 18,850 × 18,850
  4. Step 4: Simplify right side
    7,804x = 355,322,500
  5. Step 5: Solve for x
    x = 355,322,500/7,804
  6. Step 6: Final answer
    x = 45,530.82

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.