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Finding the Third Proportional to 7,735 and 16,849

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Solution

The third proportional to 7,735 and 16,849 is: 36,701.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735 : 16,849 = 16,849 : x
  2. Step 2: Convert to fraction form
    7,735/16,849 = 16,849/x
  3. Step 3: Cross multiply
    7,735x = 16,849 × 16,849
  4. Step 4: Simplify right side
    7,735x = 283,888,801
  5. Step 5: Solve for x
    x = 283,888,801/7,735
  6. Step 6: Final answer
    x = 36,701.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.