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Finding the Third Proportional to 50,438.50 and 67,354

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Solution

The third proportional to 50,438.50 and 67,354 is: 89,942.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,438.50 : 67,354 = 67,354 : x
  2. Step 2: Convert to fraction form
    50,438.50/67,354 = 67,354/x
  3. Step 3: Cross multiply
    50,438.50x = 67,354 × 67,354
  4. Step 4: Simplify right side
    50,438.50x = 4,536,561,316
  5. Step 5: Solve for x
    x = 4,536,561,316/50,438.50
  6. Step 6: Final answer
    x = 89,942.43

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.