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Finding the Third Proportional to 47,958.75 and 71,937

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Solution

The third proportional to 47,958.75 and 71,937 is: 107,903.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,958.75 : 71,937 = 71,937 : x
  2. Step 2: Convert to fraction form
    47,958.75/71,937 = 71,937/x
  3. Step 3: Cross multiply
    47,958.75x = 71,937 × 71,937
  4. Step 4: Simplify right side
    47,958.75x = 5,174,931,969
  5. Step 5: Solve for x
    x = 5,174,931,969/47,958.75
  6. Step 6: Final answer
    x = 107,903.81

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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.