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Finding the Third Proportional to 7,766.25 and 16,761

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Solution

The third proportional to 7,766.25 and 16,761 is: 36,173.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.25 : 16,761 = 16,761 : x
  2. Step 2: Convert to fraction form
    7,766.25/16,761 = 16,761/x
  3. Step 3: Cross multiply
    7,766.25x = 16,761 × 16,761
  4. Step 4: Simplify right side
    7,766.25x = 280,931,121
  5. Step 5: Solve for x
    x = 280,931,121/7,766.25
  6. Step 6: Final answer
    x = 36,173.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.