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Finding the Third Proportional to 2,992.64 and 6,363.56

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Solution

The third proportional to 2,992.64 and 6,363.56 is: 13,531.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.64 : 6,363.56 = 6,363.56 : x
  2. Step 2: Convert to fraction form
    2,992.64/6,363.56 = 6,363.56/x
  3. Step 3: Cross multiply
    2,992.64x = 6,363.56 × 6,363.56
  4. Step 4: Simplify right side
    2,992.64x = 40,494,927.69
  5. Step 5: Solve for x
    x = 40,494,927.69/2,992.64
  6. Step 6: Final answer
    x = 13,531.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.