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Finding the Third Proportional to 57,951.50 and 82,715

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Solution

The third proportional to 57,951.50 and 82,715 is: 118,060.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,951.50 : 82,715 = 82,715 : x
  2. Step 2: Convert to fraction form
    57,951.50/82,715 = 82,715/x
  3. Step 3: Cross multiply
    57,951.50x = 82,715 × 82,715
  4. Step 4: Simplify right side
    57,951.50x = 6,841,771,225
  5. Step 5: Solve for x
    x = 6,841,771,225/57,951.50
  6. Step 6: Final answer
    x = 118,060.30

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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.