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Finding the Third Proportional to 6,709 and 14,765

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Solution

The third proportional to 6,709 and 14,765 is: 32,494.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709 : 14,765 = 14,765 : x
  2. Step 2: Convert to fraction form
    6,709/14,765 = 14,765/x
  3. Step 3: Cross multiply
    6,709x = 14,765 × 14,765
  4. Step 4: Simplify right side
    6,709x = 218,005,225
  5. Step 5: Solve for x
    x = 218,005,225/6,709
  6. Step 6: Final answer
    x = 32,494.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.