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Finding the Third Proportional to 30,912.75 and 59,362.88

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Solution

The third proportional to 30,912.75 and 59,362.88 is: 113,996.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,912.75 : 59,362.88 = 59,362.88 : x
  2. Step 2: Convert to fraction form
    30,912.75/59,362.88 = 59,362.88/x
  3. Step 3: Cross multiply
    30,912.75x = 59,362.88 × 59,362.88
  4. Step 4: Simplify right side
    30,912.75x = 3,523,950,928.27
  5. Step 5: Solve for x
    x = 3,523,950,928.27/30,912.75
  6. Step 6: Final answer
    x = 113,996.68

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.