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Finding the Third Proportional to 30,179.50 and 46,995

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Solution

The third proportional to 30,179.50 and 46,995 is: 73,179.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,179.50 : 46,995 = 46,995 : x
  2. Step 2: Convert to fraction form
    30,179.50/46,995 = 46,995/x
  3. Step 3: Cross multiply
    30,179.50x = 46,995 × 46,995
  4. Step 4: Simplify right side
    30,179.50x = 2,208,530,025
  5. Step 5: Solve for x
    x = 2,208,530,025/30,179.50
  6. Step 6: Final answer
    x = 73,179.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.