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Finding the Third Proportional to 42,380.50 and 57,492.75

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Solution

The third proportional to 42,380.50 and 57,492.75 is: 77,993.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,380.50 : 57,492.75 = 57,492.75 : x
  2. Step 2: Convert to fraction form
    42,380.50/57,492.75 = 57,492.75/x
  3. Step 3: Cross multiply
    42,380.50x = 57,492.75 × 57,492.75
  4. Step 4: Simplify right side
    42,380.50x = 3,305,416,302.56
  5. Step 5: Solve for x
    x = 3,305,416,302.56/42,380.50
  6. Step 6: Final answer
    x = 77,993.80

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.