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Finding the Third Proportional to 11,294.44 and 17,566.88

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Solution

The third proportional to 11,294.44 and 17,566.88 is: 27,322.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294.44 : 17,566.88 = 17,566.88 : x
  2. Step 2: Convert to fraction form
    11,294.44/17,566.88 = 17,566.88/x
  3. Step 3: Cross multiply
    11,294.44x = 17,566.88 × 17,566.88
  4. Step 4: Simplify right side
    11,294.44x = 308,595,097.27
  5. Step 5: Solve for x
    x = 308,595,097.27/11,294.44
  6. Step 6: Final answer
    x = 27,322.75

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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.