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Finding the Third Proportional to 31,329.75 and 47,986.88

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Solution

The third proportional to 31,329.75 and 47,986.88 is: 73,500.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,329.75 : 47,986.88 = 47,986.88 : x
  2. Step 2: Convert to fraction form
    31,329.75/47,986.88 = 47,986.88/x
  3. Step 3: Cross multiply
    31,329.75x = 47,986.88 × 47,986.88
  4. Step 4: Simplify right side
    31,329.75x = 2,302,740,172.27
  5. Step 5: Solve for x
    x = 2,302,740,172.27/31,329.75
  6. Step 6: Final answer
    x = 73,500.11

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.