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Finding the Third Proportional to 2,512.13 and 4,492.69

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Solution

The third proportional to 2,512.13 and 4,492.69 is: 8,034.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.13 : 4,492.69 = 4,492.69 : x
  2. Step 2: Convert to fraction form
    2,512.13/4,492.69 = 4,492.69/x
  3. Step 3: Cross multiply
    2,512.13x = 4,492.69 × 4,492.69
  4. Step 4: Simplify right side
    2,512.13x = 20,184,240.97
  5. Step 5: Solve for x
    x = 20,184,240.97/2,512.13
  6. Step 6: Final answer
    x = 8,034.73

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.