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Finding the Third Proportional to 7,002 and 10,841.63

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Solution

The third proportional to 7,002 and 10,841.63 is: 16,786.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002 : 10,841.63 = 10,841.63 : x
  2. Step 2: Convert to fraction form
    7,002/10,841.63 = 10,841.63/x
  3. Step 3: Cross multiply
    7,002x = 10,841.63 × 10,841.63
  4. Step 4: Simplify right side
    7,002x = 117,540,832.64
  5. Step 5: Solve for x
    x = 117,540,832.64/7,002
  6. Step 6: Final answer
    x = 16,786.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.