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Finding the Third Proportional to 43,672.50 and 95,283

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Solution

The third proportional to 43,672.50 and 95,283 is: 207,884.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,672.50 : 95,283 = 95,283 : x
  2. Step 2: Convert to fraction form
    43,672.50/95,283 = 95,283/x
  3. Step 3: Cross multiply
    43,672.50x = 95,283 × 95,283
  4. Step 4: Simplify right side
    43,672.50x = 9,078,850,089
  5. Step 5: Solve for x
    x = 9,078,850,089/43,672.50
  6. Step 6: Final answer
    x = 207,884.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.