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Finding the Third Proportional to 9,296.44 and 14,162.55

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Solution

The third proportional to 9,296.44 and 14,162.55 is: 21,575.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.44 : 14,162.55 = 14,162.55 : x
  2. Step 2: Convert to fraction form
    9,296.44/14,162.55 = 14,162.55/x
  3. Step 3: Cross multiply
    9,296.44x = 14,162.55 × 14,162.55
  4. Step 4: Simplify right side
    9,296.44x = 200,577,955.28
  5. Step 5: Solve for x
    x = 200,577,955.28/9,296.44
  6. Step 6: Final answer
    x = 21,575.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.