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Finding the Third Proportional to 2,673 and 6,500.25

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Solution

The third proportional to 2,673 and 6,500.25 is: 15,807.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673 : 6,500.25 = 6,500.25 : x
  2. Step 2: Convert to fraction form
    2,673/6,500.25 = 6,500.25/x
  3. Step 3: Cross multiply
    2,673x = 6,500.25 × 6,500.25
  4. Step 4: Simplify right side
    2,673x = 42,253,250.06
  5. Step 5: Solve for x
    x = 42,253,250.06/2,673
  6. Step 6: Final answer
    x = 15,807.43

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.