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Finding the Third Proportional to 3,114 and 4,197

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Solution

The third proportional to 3,114 and 4,197 is: 5,656.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114 : 4,197 = 4,197 : x
  2. Step 2: Convert to fraction form
    3,114/4,197 = 4,197/x
  3. Step 3: Cross multiply
    3,114x = 4,197 × 4,197
  4. Step 4: Simplify right side
    3,114x = 17,614,809
  5. Step 5: Solve for x
    x = 17,614,809/3,114
  6. Step 6: Final answer
    x = 5,656.65

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.