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Finding the Third Proportional to 4,591.50 and 6,782.25

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Solution

The third proportional to 4,591.50 and 6,782.25 is: 10,018.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,591.50 : 6,782.25 = 6,782.25 : x
  2. Step 2: Convert to fraction form
    4,591.50/6,782.25 = 6,782.25/x
  3. Step 3: Cross multiply
    4,591.50x = 6,782.25 × 6,782.25
  4. Step 4: Simplify right side
    4,591.50x = 45,998,915.06
  5. Step 5: Solve for x
    x = 45,998,915.06/4,591.50
  6. Step 6: Final answer
    x = 10,018.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.