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Finding the Third Proportional to 2,680.59 and 5,657.34

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Solution

The third proportional to 2,680.59 and 5,657.34 is: 11,939.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.59 : 5,657.34 = 5,657.34 : x
  2. Step 2: Convert to fraction form
    2,680.59/5,657.34 = 5,657.34/x
  3. Step 3: Cross multiply
    2,680.59x = 5,657.34 × 5,657.34
  4. Step 4: Simplify right side
    2,680.59x = 32,005,538.31
  5. Step 5: Solve for x
    x = 32,005,538.31/2,680.59
  6. Step 6: Final answer
    x = 11,939.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.