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Finding the Third Proportional to 47,340.75 and 71,133.75

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Solution

The third proportional to 47,340.75 and 71,133.75 is: 106,884.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,340.75 : 71,133.75 = 71,133.75 : x
  2. Step 2: Convert to fraction form
    47,340.75/71,133.75 = 71,133.75/x
  3. Step 3: Cross multiply
    47,340.75x = 71,133.75 × 71,133.75
  4. Step 4: Simplify right side
    47,340.75x = 5,060,010,389.06
  5. Step 5: Solve for x
    x = 5,060,010,389.06/47,340.75
  6. Step 6: Final answer
    x = 106,884.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.