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Finding the Third Proportional to 3,701 and 8,735

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Solution

The third proportional to 3,701 and 8,735 is: 20,616.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701 : 8,735 = 8,735 : x
  2. Step 2: Convert to fraction form
    3,701/8,735 = 8,735/x
  3. Step 3: Cross multiply
    3,701x = 8,735 × 8,735
  4. Step 4: Simplify right side
    3,701x = 76,300,225
  5. Step 5: Solve for x
    x = 76,300,225/3,701
  6. Step 6: Final answer
    x = 20,616.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.