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Finding the Third Proportional to 7,891.88 and 17,346.94

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Solution

The third proportional to 7,891.88 and 17,346.94 is: 38,129.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.88 : 17,346.94 = 17,346.94 : x
  2. Step 2: Convert to fraction form
    7,891.88/17,346.94 = 17,346.94/x
  3. Step 3: Cross multiply
    7,891.88x = 17,346.94 × 17,346.94
  4. Step 4: Simplify right side
    7,891.88x = 300,916,240.63
  5. Step 5: Solve for x
    x = 300,916,240.63/7,891.88
  6. Step 6: Final answer
    x = 38,129.88

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.