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Finding the Third Proportional to 2,688.33 and 5,788.62

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Solution

The third proportional to 2,688.33 and 5,788.62 is: 12,464.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.33 : 5,788.62 = 5,788.62 : x
  2. Step 2: Convert to fraction form
    2,688.33/5,788.62 = 5,788.62/x
  3. Step 3: Cross multiply
    2,688.33x = 5,788.62 × 5,788.62
  4. Step 4: Simplify right side
    2,688.33x = 33,508,088.94
  5. Step 5: Solve for x
    x = 33,508,088.94/2,688.33
  6. Step 6: Final answer
    x = 12,464.29

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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.