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Finding the Third Proportional to 9,073.27 and 14,014.27

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Solution

The third proportional to 9,073.27 and 14,014.27 is: 21,645.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,073.27 : 14,014.27 = 14,014.27 : x
  2. Step 2: Convert to fraction form
    9,073.27/14,014.27 = 14,014.27/x
  3. Step 3: Cross multiply
    9,073.27x = 14,014.27 × 14,014.27
  4. Step 4: Simplify right side
    9,073.27x = 196,399,641.01
  5. Step 5: Solve for x
    x = 196,399,641.01/9,073.27
  6. Step 6: Final answer
    x = 21,645.97

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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.