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Finding the Third Proportional to 47,940.75 and 75,208.50

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Solution

The third proportional to 47,940.75 and 75,208.50 is: 117,985.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,940.75 : 75,208.50 = 75,208.50 : x
  2. Step 2: Convert to fraction form
    47,940.75/75,208.50 = 75,208.50/x
  3. Step 3: Cross multiply
    47,940.75x = 75,208.50 × 75,208.50
  4. Step 4: Simplify right side
    47,940.75x = 5,656,318,472.25
  5. Step 5: Solve for x
    x = 5,656,318,472.25/47,940.75
  6. Step 6: Final answer
    x = 117,985.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.