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Finding the Third Proportional to 3,607.88 and 7,754.91

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Solution

The third proportional to 3,607.88 and 7,754.91 is: 16,668.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.88 : 7,754.91 = 7,754.91 : x
  2. Step 2: Convert to fraction form
    3,607.88/7,754.91 = 7,754.91/x
  3. Step 3: Cross multiply
    3,607.88x = 7,754.91 × 7,754.91
  4. Step 4: Simplify right side
    3,607.88x = 60,138,570.95
  5. Step 5: Solve for x
    x = 60,138,570.95/3,607.88
  6. Step 6: Final answer
    x = 16,668.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.