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Finding the Third Proportional to 38,890.50 and 91,519.50

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Solution

The third proportional to 38,890.50 and 91,519.50 is: 215,369.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,890.50 : 91,519.50 = 91,519.50 : x
  2. Step 2: Convert to fraction form
    38,890.50/91,519.50 = 91,519.50/x
  3. Step 3: Cross multiply
    38,890.50x = 91,519.50 × 91,519.50
  4. Step 4: Simplify right side
    38,890.50x = 8,375,818,880.25
  5. Step 5: Solve for x
    x = 8,375,818,880.25/38,890.50
  6. Step 6: Final answer
    x = 215,369.28

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.