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Finding the Third Proportional to 43,811.50 and 95,731

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Solution

The third proportional to 43,811.50 and 95,731 is: 209,178.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,811.50 : 95,731 = 95,731 : x
  2. Step 2: Convert to fraction form
    43,811.50/95,731 = 95,731/x
  3. Step 3: Cross multiply
    43,811.50x = 95,731 × 95,731
  4. Step 4: Simplify right side
    43,811.50x = 9,164,424,361
  5. Step 5: Solve for x
    x = 9,164,424,361/43,811.50
  6. Step 6: Final answer
    x = 209,178.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.