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Finding the Third Proportional to 9,600.75 and 14,087.25

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Solution

The third proportional to 9,600.75 and 14,087.25 is: 20,670.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.75 : 14,087.25 = 14,087.25 : x
  2. Step 2: Convert to fraction form
    9,600.75/14,087.25 = 14,087.25/x
  3. Step 3: Cross multiply
    9,600.75x = 14,087.25 × 14,087.25
  4. Step 4: Simplify right side
    9,600.75x = 198,450,612.56
  5. Step 5: Solve for x
    x = 198,450,612.56/9,600.75
  6. Step 6: Final answer
    x = 20,670.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.