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Finding the Third Proportional to 17,760.94 and 27,710.44

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Solution

The third proportional to 17,760.94 and 27,710.44 is: 43,233.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,760.94 : 27,710.44 = 27,710.44 : x
  2. Step 2: Convert to fraction form
    17,760.94/27,710.44 = 27,710.44/x
  3. Step 3: Cross multiply
    17,760.94x = 27,710.44 × 27,710.44
  4. Step 4: Simplify right side
    17,760.94x = 767,868,346.44
  5. Step 5: Solve for x
    x = 767,868,346.44/17,760.94
  6. Step 6: Final answer
    x = 43,233.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.