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Finding the Third Proportional to 7,618.50 and 16,661

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Solution

The third proportional to 7,618.50 and 16,661 is: 36,436.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,618.50 : 16,661 = 16,661 : x
  2. Step 2: Convert to fraction form
    7,618.50/16,661 = 16,661/x
  3. Step 3: Cross multiply
    7,618.50x = 16,661 × 16,661
  4. Step 4: Simplify right side
    7,618.50x = 277,588,921
  5. Step 5: Solve for x
    x = 277,588,921/7,618.50
  6. Step 6: Final answer
    x = 36,436.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.