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Finding the Third Proportional to 5,513.06 and 8,378.44

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Solution

The third proportional to 5,513.06 and 8,378.44 is: 12,733.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,513.06 : 8,378.44 = 8,378.44 : x
  2. Step 2: Convert to fraction form
    5,513.06/8,378.44 = 8,378.44/x
  3. Step 3: Cross multiply
    5,513.06x = 8,378.44 × 8,378.44
  4. Step 4: Simplify right side
    5,513.06x = 70,198,214.94
  5. Step 5: Solve for x
    x = 70,198,214.94/5,513.06
  6. Step 6: Final answer
    x = 12,733.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.