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Finding the Third Proportional to 2,602.76 and 5,667.47

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Solution

The third proportional to 2,602.76 and 5,667.47 is: 12,340.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.76 : 5,667.47 = 5,667.47 : x
  2. Step 2: Convert to fraction form
    2,602.76/5,667.47 = 5,667.47/x
  3. Step 3: Cross multiply
    2,602.76x = 5,667.47 × 5,667.47
  4. Step 4: Simplify right side
    2,602.76x = 32,120,202.03
  5. Step 5: Solve for x
    x = 32,120,202.03/2,602.76
  6. Step 6: Final answer
    x = 12,340.83

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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.