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Finding the Third Proportional to 7,602 and 17,661

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Solution

The third proportional to 7,602 and 17,661 is: 41,030.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602 : 17,661 = 17,661 : x
  2. Step 2: Convert to fraction form
    7,602/17,661 = 17,661/x
  3. Step 3: Cross multiply
    7,602x = 17,661 × 17,661
  4. Step 4: Simplify right side
    7,602x = 311,910,921
  5. Step 5: Solve for x
    x = 311,910,921/7,602
  6. Step 6: Final answer
    x = 41,030.11

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.