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Finding the Third Proportional to 9,301.75 and 14,171

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Solution

The third proportional to 9,301.75 and 14,171 is: 21,589.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.75 : 14,171 = 14,171 : x
  2. Step 2: Convert to fraction form
    9,301.75/14,171 = 14,171/x
  3. Step 3: Cross multiply
    9,301.75x = 14,171 × 14,171
  4. Step 4: Simplify right side
    9,301.75x = 200,817,241
  5. Step 5: Solve for x
    x = 200,817,241/9,301.75
  6. Step 6: Final answer
    x = 21,589.19

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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.