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Finding the Third Proportional to 9,267.75 and 14,229.84

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Solution

The third proportional to 9,267.75 and 14,229.84 is: 21,848.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267.75 : 14,229.84 = 14,229.84 : x
  2. Step 2: Convert to fraction form
    9,267.75/14,229.84 = 14,229.84/x
  3. Step 3: Cross multiply
    9,267.75x = 14,229.84 × 14,229.84
  4. Step 4: Simplify right side
    9,267.75x = 202,488,453.15
  5. Step 5: Solve for x
    x = 202,488,453.15/9,267.75
  6. Step 6: Final answer
    x = 21,848.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.