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Finding the Third Proportional to 2,079.84 and 4,429.27

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Solution

The third proportional to 2,079.84 and 4,429.27 is: 9,432.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.84 : 4,429.27 = 4,429.27 : x
  2. Step 2: Convert to fraction form
    2,079.84/4,429.27 = 4,429.27/x
  3. Step 3: Cross multiply
    2,079.84x = 4,429.27 × 4,429.27
  4. Step 4: Simplify right side
    2,079.84x = 19,618,393.98
  5. Step 5: Solve for x
    x = 19,618,393.98/2,079.84
  6. Step 6: Final answer
    x = 9,432.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.