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Finding the Third Proportional to 30,874.50 and 72,191.25

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Solution

The third proportional to 30,874.50 and 72,191.25 is: 168,798.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,874.50 : 72,191.25 = 72,191.25 : x
  2. Step 2: Convert to fraction form
    30,874.50/72,191.25 = 72,191.25/x
  3. Step 3: Cross multiply
    30,874.50x = 72,191.25 × 72,191.25
  4. Step 4: Simplify right side
    30,874.50x = 5,211,576,576.56
  5. Step 5: Solve for x
    x = 5,211,576,576.56/30,874.50
  6. Step 6: Final answer
    x = 168,798.74

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.