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Finding the Third Proportional to 9,291 and 20,256.75

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Solution

The third proportional to 9,291 and 20,256.75 is: 44,164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291 : 20,256.75 = 20,256.75 : x
  2. Step 2: Convert to fraction form
    9,291/20,256.75 = 20,256.75/x
  3. Step 3: Cross multiply
    9,291x = 20,256.75 × 20,256.75
  4. Step 4: Simplify right side
    9,291x = 410,335,920.56
  5. Step 5: Solve for x
    x = 410,335,920.56/9,291
  6. Step 6: Final answer
    x = 44,164.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.