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Finding the Third Proportional to 6,446 and 13,735

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Solution

The third proportional to 6,446 and 13,735 is: 29,266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446 : 13,735 = 13,735 : x
  2. Step 2: Convert to fraction form
    6,446/13,735 = 13,735/x
  3. Step 3: Cross multiply
    6,446x = 13,735 × 13,735
  4. Step 4: Simplify right side
    6,446x = 188,650,225
  5. Step 5: Solve for x
    x = 188,650,225/6,446
  6. Step 6: Final answer
    x = 29,266.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.