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Finding the Third Proportional to 5,250.75 and 7,478.25

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Solution

The third proportional to 5,250.75 and 7,478.25 is: 10,650.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,250.75 : 7,478.25 = 7,478.25 : x
  2. Step 2: Convert to fraction form
    5,250.75/7,478.25 = 7,478.25/x
  3. Step 3: Cross multiply
    5,250.75x = 7,478.25 × 7,478.25
  4. Step 4: Simplify right side
    5,250.75x = 55,924,223.06
  5. Step 5: Solve for x
    x = 55,924,223.06/5,250.75
  6. Step 6: Final answer
    x = 10,650.71

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.