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Finding the Third Proportional to 2,223.07 and 4,856.20

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Solution

The third proportional to 2,223.07 and 4,856.20 is: 10,608.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.07 : 4,856.20 = 4,856.20 : x
  2. Step 2: Convert to fraction form
    2,223.07/4,856.20 = 4,856.20/x
  3. Step 3: Cross multiply
    2,223.07x = 4,856.20 × 4,856.20
  4. Step 4: Simplify right side
    2,223.07x = 23,582,708.79
  5. Step 5: Solve for x
    x = 23,582,708.79/2,223.07
  6. Step 6: Final answer
    x = 10,608.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.