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Finding the Third Proportional to 30,923.44 and 46,202.06

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Solution

The third proportional to 30,923.44 and 46,202.06 is: 69,029.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,923.44 : 46,202.06 = 46,202.06 : x
  2. Step 2: Convert to fraction form
    30,923.44/46,202.06 = 46,202.06/x
  3. Step 3: Cross multiply
    30,923.44x = 46,202.06 × 46,202.06
  4. Step 4: Simplify right side
    30,923.44x = 2,134,630,579.25
  5. Step 5: Solve for x
    x = 2,134,630,579.25/30,923.44
  6. Step 6: Final answer
    x = 69,029.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.