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Finding the Third Proportional to 30,921.75 and 47,999.25

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Solution

The third proportional to 30,921.75 and 47,999.25 is: 74,508.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,921.75 : 47,999.25 = 47,999.25 : x
  2. Step 2: Convert to fraction form
    30,921.75/47,999.25 = 47,999.25/x
  3. Step 3: Cross multiply
    30,921.75x = 47,999.25 × 47,999.25
  4. Step 4: Simplify right side
    30,921.75x = 2,303,928,000.56
  5. Step 5: Solve for x
    x = 2,303,928,000.56/30,921.75
  6. Step 6: Final answer
    x = 74,508.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.