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Finding the Third Proportional to 3,207 and 5,685

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Solution

The third proportional to 3,207 and 5,685 is: 10,077.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207 : 5,685 = 5,685 : x
  2. Step 2: Convert to fraction form
    3,207/5,685 = 5,685/x
  3. Step 3: Cross multiply
    3,207x = 5,685 × 5,685
  4. Step 4: Simplify right side
    3,207x = 32,319,225
  5. Step 5: Solve for x
    x = 32,319,225/3,207
  6. Step 6: Final answer
    x = 10,077.71

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.