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Finding the Third Proportional to 2,675 and 6,445

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Solution

The third proportional to 2,675 and 6,445 is: 15,528.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675 : 6,445 = 6,445 : x
  2. Step 2: Convert to fraction form
    2,675/6,445 = 6,445/x
  3. Step 3: Cross multiply
    2,675x = 6,445 × 6,445
  4. Step 4: Simplify right side
    2,675x = 41,538,025
  5. Step 5: Solve for x
    x = 41,538,025/2,675
  6. Step 6: Final answer
    x = 15,528.23

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.