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Finding the Third Proportional to 43,042.50 and 65,797

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Solution

The third proportional to 43,042.50 and 65,797 is: 100,580.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,042.50 : 65,797 = 65,797 : x
  2. Step 2: Convert to fraction form
    43,042.50/65,797 = 65,797/x
  3. Step 3: Cross multiply
    43,042.50x = 65,797 × 65,797
  4. Step 4: Simplify right side
    43,042.50x = 4,329,245,209
  5. Step 5: Solve for x
    x = 4,329,245,209/43,042.50
  6. Step 6: Final answer
    x = 100,580.71

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.