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Finding the Third Proportional to 3,662 and 7,139

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Solution

The third proportional to 3,662 and 7,139 is: 13,917.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662 : 7,139 = 7,139 : x
  2. Step 2: Convert to fraction form
    3,662/7,139 = 7,139/x
  3. Step 3: Cross multiply
    3,662x = 7,139 × 7,139
  4. Step 4: Simplify right side
    3,662x = 50,965,321
  5. Step 5: Solve for x
    x = 50,965,321/3,662
  6. Step 6: Final answer
    x = 13,917.35

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.