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Finding the Third Proportional to 47,188.50 and 68,836.50

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Solution

The third proportional to 47,188.50 and 68,836.50 is: 100,415.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,188.50 : 68,836.50 = 68,836.50 : x
  2. Step 2: Convert to fraction form
    47,188.50/68,836.50 = 68,836.50/x
  3. Step 3: Cross multiply
    47,188.50x = 68,836.50 × 68,836.50
  4. Step 4: Simplify right side
    47,188.50x = 4,738,463,732.25
  5. Step 5: Solve for x
    x = 4,738,463,732.25/47,188.50
  6. Step 6: Final answer
    x = 100,415.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.