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Finding the Third Proportional to 30,828.75 and 46,247.44

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Solution

The third proportional to 30,828.75 and 46,247.44 is: 69,377.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,828.75 : 46,247.44 = 46,247.44 : x
  2. Step 2: Convert to fraction form
    30,828.75/46,247.44 = 46,247.44/x
  3. Step 3: Cross multiply
    30,828.75x = 46,247.44 × 46,247.44
  4. Step 4: Simplify right side
    30,828.75x = 2,138,825,475.32
  5. Step 5: Solve for x
    x = 2,138,825,475.32/30,828.75
  6. Step 6: Final answer
    x = 69,377.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.