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Finding the Third Proportional to 2,608.45 and 5,624.12

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Solution

The third proportional to 2,608.45 and 5,624.12 is: 12,126.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.45 : 5,624.12 = 5,624.12 : x
  2. Step 2: Convert to fraction form
    2,608.45/5,624.12 = 5,624.12/x
  3. Step 3: Cross multiply
    2,608.45x = 5,624.12 × 5,624.12
  4. Step 4: Simplify right side
    2,608.45x = 31,630,738.08
  5. Step 5: Solve for x
    x = 31,630,738.08/2,608.45
  6. Step 6: Final answer
    x = 12,126.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.