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Finding the Third Proportional to 17,311.50 and 37,022.63

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Solution

The third proportional to 17,311.50 and 37,022.63 is: 79,177.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,311.50 : 37,022.63 = 37,022.63 : x
  2. Step 2: Convert to fraction form
    17,311.50/37,022.63 = 37,022.63/x
  3. Step 3: Cross multiply
    17,311.50x = 37,022.63 × 37,022.63
  4. Step 4: Simplify right side
    17,311.50x = 1,370,674,761.89
  5. Step 5: Solve for x
    x = 1,370,674,761.89/17,311.50
  6. Step 6: Final answer
    x = 79,177.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.