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Finding the Third Proportional to 2,862.43 and 6,072.45

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Solution

The third proportional to 2,862.43 and 6,072.45 is: 12,882.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.43 : 6,072.45 = 6,072.45 : x
  2. Step 2: Convert to fraction form
    2,862.43/6,072.45 = 6,072.45/x
  3. Step 3: Cross multiply
    2,862.43x = 6,072.45 × 6,072.45
  4. Step 4: Simplify right side
    2,862.43x = 36,874,636.55
  5. Step 5: Solve for x
    x = 36,874,636.55/2,862.43
  6. Step 6: Final answer
    x = 12,882.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.