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Finding the Third Proportional to 2,892.38 and 6,073.31

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Solution

The third proportional to 2,892.38 and 6,073.31 is: 12,752.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.38 : 6,073.31 = 6,073.31 : x
  2. Step 2: Convert to fraction form
    2,892.38/6,073.31 = 6,073.31/x
  3. Step 3: Cross multiply
    2,892.38x = 6,073.31 × 6,073.31
  4. Step 4: Simplify right side
    2,892.38x = 36,885,124.72
  5. Step 5: Solve for x
    x = 36,885,124.72/2,892.38
  6. Step 6: Final answer
    x = 12,752.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.