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Finding the Third Proportional to 11,735.50 and 17,605

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Solution

The third proportional to 11,735.50 and 17,605 is: 26,410.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.50 : 17,605 = 17,605 : x
  2. Step 2: Convert to fraction form
    11,735.50/17,605 = 17,605/x
  3. Step 3: Cross multiply
    11,735.50x = 17,605 × 17,605
  4. Step 4: Simplify right side
    11,735.50x = 309,936,025
  5. Step 5: Solve for x
    x = 309,936,025/11,735.50
  6. Step 6: Final answer
    x = 26,410.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.