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Finding the Third Proportional to 1,459.69 and 3,168.70

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Solution

The third proportional to 1,459.69 and 3,168.70 is: 6,878.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.69 : 3,168.70 = 3,168.70 : x
  2. Step 2: Convert to fraction form
    1,459.69/3,168.70 = 3,168.70/x
  3. Step 3: Cross multiply
    1,459.69x = 3,168.70 × 3,168.70
  4. Step 4: Simplify right side
    1,459.69x = 10,040,679.49
  5. Step 5: Solve for x
    x = 10,040,679.49/1,459.69
  6. Step 6: Final answer
    x = 6,878.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.