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Finding the Third Proportional to 2,660.34 and 5,788.97

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Solution

The third proportional to 2,660.34 and 5,788.97 is: 12,596.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.34 : 5,788.97 = 5,788.97 : x
  2. Step 2: Convert to fraction form
    2,660.34/5,788.97 = 5,788.97/x
  3. Step 3: Cross multiply
    2,660.34x = 5,788.97 × 5,788.97
  4. Step 4: Simplify right side
    2,660.34x = 33,512,159.19
  5. Step 5: Solve for x
    x = 33,512,159.19/2,660.34
  6. Step 6: Final answer
    x = 12,596.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.