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Finding the Third Proportional to 43,717.50 and 100,935

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Solution

The third proportional to 43,717.50 and 100,935 is: 233,038.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,717.50 : 100,935 = 100,935 : x
  2. Step 2: Convert to fraction form
    43,717.50/100,935 = 100,935/x
  3. Step 3: Cross multiply
    43,717.50x = 100,935 × 100,935
  4. Step 4: Simplify right side
    43,717.50x = 10,187,874,225
  5. Step 5: Solve for x
    x = 10,187,874,225/43,717.50
  6. Step 6: Final answer
    x = 233,038.81

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.