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Finding the Third Proportional to 57,376.50 and 82,638.75

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Solution

The third proportional to 57,376.50 and 82,638.75 is: 119,023.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,376.50 : 82,638.75 = 82,638.75 : x
  2. Step 2: Convert to fraction form
    57,376.50/82,638.75 = 82,638.75/x
  3. Step 3: Cross multiply
    57,376.50x = 82,638.75 × 82,638.75
  4. Step 4: Simplify right side
    57,376.50x = 6,829,163,001.56
  5. Step 5: Solve for x
    x = 6,829,163,001.56/57,376.50
  6. Step 6: Final answer
    x = 119,023.69

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.