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Finding the Third Proportional to 7,805.25 and 13,880.25

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Solution

The third proportional to 7,805.25 and 13,880.25 is: 24,683.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.25 : 13,880.25 = 13,880.25 : x
  2. Step 2: Convert to fraction form
    7,805.25/13,880.25 = 13,880.25/x
  3. Step 3: Cross multiply
    7,805.25x = 13,880.25 × 13,880.25
  4. Step 4: Simplify right side
    7,805.25x = 192,661,340.06
  5. Step 5: Solve for x
    x = 192,661,340.06/7,805.25
  6. Step 6: Final answer
    x = 24,683.56

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.