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Finding the Third Proportional to 16,591.50 and 34,141.50

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Solution

The third proportional to 16,591.50 and 34,141.50 is: 70,255.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,591.50 : 34,141.50 = 34,141.50 : x
  2. Step 2: Convert to fraction form
    16,591.50/34,141.50 = 34,141.50/x
  3. Step 3: Cross multiply
    16,591.50x = 34,141.50 × 34,141.50
  4. Step 4: Simplify right side
    16,591.50x = 1,165,642,022.25
  5. Step 5: Solve for x
    x = 1,165,642,022.25/16,591.50
  6. Step 6: Final answer
    x = 70,255.37

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.