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Finding the Third Proportional to 17,212.50 and 36,475.31

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Solution

The third proportional to 17,212.50 and 36,475.31 is: 77,295.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,212.50 : 36,475.31 = 36,475.31 : x
  2. Step 2: Convert to fraction form
    17,212.50/36,475.31 = 36,475.31/x
  3. Step 3: Cross multiply
    17,212.50x = 36,475.31 × 36,475.31
  4. Step 4: Simplify right side
    17,212.50x = 1,330,448,421.97
  5. Step 5: Solve for x
    x = 1,330,448,421.97/17,212.50
  6. Step 6: Final answer
    x = 77,295.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.