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Finding the Third Proportional to 47,958.50 and 71,007.50

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Solution

The third proportional to 47,958.50 and 71,007.50 is: 105,133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,958.50 : 71,007.50 = 71,007.50 : x
  2. Step 2: Convert to fraction form
    47,958.50/71,007.50 = 71,007.50/x
  3. Step 3: Cross multiply
    47,958.50x = 71,007.50 × 71,007.50
  4. Step 4: Simplify right side
    47,958.50x = 5,042,065,056.25
  5. Step 5: Solve for x
    x = 5,042,065,056.25/47,958.50
  6. Step 6: Final answer
    x = 105,133.92

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.