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Finding the Third Proportional to 9,093.52 and 19,743.75

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Solution

The third proportional to 9,093.52 and 19,743.75 is: 42,867.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,093.52 : 19,743.75 = 19,743.75 : x
  2. Step 2: Convert to fraction form
    9,093.52/19,743.75 = 19,743.75/x
  3. Step 3: Cross multiply
    9,093.52x = 19,743.75 × 19,743.75
  4. Step 4: Simplify right side
    9,093.52x = 389,815,664.06
  5. Step 5: Solve for x
    x = 389,815,664.06/9,093.52
  6. Step 6: Final answer
    x = 42,867.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.