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Finding the Third Proportional to 9,087.75 and 14,279.63

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Solution

The third proportional to 9,087.75 and 14,279.63 is: 22,437.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,087.75 : 14,279.63 = 14,279.63 : x
  2. Step 2: Convert to fraction form
    9,087.75/14,279.63 = 14,279.63/x
  3. Step 3: Cross multiply
    9,087.75x = 14,279.63 × 14,279.63
  4. Step 4: Simplify right side
    9,087.75x = 203,907,690.14
  5. Step 5: Solve for x
    x = 203,907,690.14/9,087.75
  6. Step 6: Final answer
    x = 22,437.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.