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Finding the Third Proportional to 2,029.28 and 4,366.97

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Solution

The third proportional to 2,029.28 and 4,366.97 is: 9,397.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.28 : 4,366.97 = 4,366.97 : x
  2. Step 2: Convert to fraction form
    2,029.28/4,366.97 = 4,366.97/x
  3. Step 3: Cross multiply
    2,029.28x = 4,366.97 × 4,366.97
  4. Step 4: Simplify right side
    2,029.28x = 19,070,416.06
  5. Step 5: Solve for x
    x = 19,070,416.06/2,029.28
  6. Step 6: Final answer
    x = 9,397.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.