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Finding the Third Proportional to 2,079.28 and 4,568.06

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Solution

The third proportional to 2,079.28 and 4,568.06 is: 10,035.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.28 : 4,568.06 = 4,568.06 : x
  2. Step 2: Convert to fraction form
    2,079.28/4,568.06 = 4,568.06/x
  3. Step 3: Cross multiply
    2,079.28x = 4,568.06 × 4,568.06
  4. Step 4: Simplify right side
    2,079.28x = 20,867,195.00
  5. Step 5: Solve for x
    x = 20,867,195.00/2,079.28
  6. Step 6: Final answer
    x = 10,035.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.