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Finding the Third Proportional to 17,200.69 and 34,863.38

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Solution

The third proportional to 17,200.69 and 34,863.38 is: 70,663.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,200.69 : 34,863.38 = 34,863.38 : x
  2. Step 2: Convert to fraction form
    17,200.69/34,863.38 = 34,863.38/x
  3. Step 3: Cross multiply
    17,200.69x = 34,863.38 × 34,863.38
  4. Step 4: Simplify right side
    17,200.69x = 1,215,454,916.39
  5. Step 5: Solve for x
    x = 1,215,454,916.39/17,200.69
  6. Step 6: Final answer
    x = 70,663.16

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.