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Finding the Third Proportional to 5,213.25 and 7,820.25

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Solution

The third proportional to 5,213.25 and 7,820.25 is: 11,730.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.25 : 7,820.25 = 7,820.25 : x
  2. Step 2: Convert to fraction form
    5,213.25/7,820.25 = 7,820.25/x
  3. Step 3: Cross multiply
    5,213.25x = 7,820.25 × 7,820.25
  4. Step 4: Simplify right side
    5,213.25x = 61,156,310.06
  5. Step 5: Solve for x
    x = 61,156,310.06/5,213.25
  6. Step 6: Final answer
    x = 11,730.94

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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.