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Finding the Third Proportional to 9,232.50 and 13,859.25

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Solution

The third proportional to 9,232.50 and 13,859.25 is: 20,804.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.50 : 13,859.25 = 13,859.25 : x
  2. Step 2: Convert to fraction form
    9,232.50/13,859.25 = 13,859.25/x
  3. Step 3: Cross multiply
    9,232.50x = 13,859.25 × 13,859.25
  4. Step 4: Simplify right side
    9,232.50x = 192,078,810.56
  5. Step 5: Solve for x
    x = 192,078,810.56/9,232.50
  6. Step 6: Final answer
    x = 20,804.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.