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Finding the Third Proportional to 9,324.75 and 14,123.25

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Solution

The third proportional to 9,324.75 and 14,123.25 is: 21,391.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324.75 : 14,123.25 = 14,123.25 : x
  2. Step 2: Convert to fraction form
    9,324.75/14,123.25 = 14,123.25/x
  3. Step 3: Cross multiply
    9,324.75x = 14,123.25 × 14,123.25
  4. Step 4: Simplify right side
    9,324.75x = 199,466,190.56
  5. Step 5: Solve for x
    x = 199,466,190.56/9,324.75
  6. Step 6: Final answer
    x = 21,391.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.