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Finding the Third Proportional to 43,346.50 and 94,631

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Solution

The third proportional to 43,346.50 and 94,631 is: 206,591.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,346.50 : 94,631 = 94,631 : x
  2. Step 2: Convert to fraction form
    43,346.50/94,631 = 94,631/x
  3. Step 3: Cross multiply
    43,346.50x = 94,631 × 94,631
  4. Step 4: Simplify right side
    43,346.50x = 8,955,026,161
  5. Step 5: Solve for x
    x = 8,955,026,161/43,346.50
  6. Step 6: Final answer
    x = 206,591.68

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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.