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Finding the Third Proportional to 8,662.57 and 17,735.20

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Solution

The third proportional to 8,662.57 and 17,735.20 is: 36,309.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,662.57 : 17,735.20 = 17,735.20 : x
  2. Step 2: Convert to fraction form
    8,662.57/17,735.20 = 17,735.20/x
  3. Step 3: Cross multiply
    8,662.57x = 17,735.20 × 17,735.20
  4. Step 4: Simplify right side
    8,662.57x = 314,537,429.89
  5. Step 5: Solve for x
    x = 314,537,429.89/8,662.57
  6. Step 6: Final answer
    x = 36,309.94

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.