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Finding the Third Proportional to 3,229 and 6,854

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Solution

The third proportional to 3,229 and 6,854 is: 14,548.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229 : 6,854 = 6,854 : x
  2. Step 2: Convert to fraction form
    3,229/6,854 = 6,854/x
  3. Step 3: Cross multiply
    3,229x = 6,854 × 6,854
  4. Step 4: Simplify right side
    3,229x = 46,977,316
  5. Step 5: Solve for x
    x = 46,977,316/3,229
  6. Step 6: Final answer
    x = 14,548.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.