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Finding the Third Proportional to 57,975.75 and 82,684.13

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Solution

The third proportional to 57,975.75 and 82,684.13 is: 117,922.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,975.75 : 82,684.13 = 82,684.13 : x
  2. Step 2: Convert to fraction form
    57,975.75/82,684.13 = 82,684.13/x
  3. Step 3: Cross multiply
    57,975.75x = 82,684.13 × 82,684.13
  4. Step 4: Simplify right side
    57,975.75x = 6,836,664,527.02
  5. Step 5: Solve for x
    x = 6,836,664,527.02/57,975.75
  6. Step 6: Final answer
    x = 117,922.83

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.