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Finding the Third Proportional to 7,758.09 and 16,745.91

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Solution

The third proportional to 7,758.09 and 16,745.91 is: 36,146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.09 : 16,745.91 = 16,745.91 : x
  2. Step 2: Convert to fraction form
    7,758.09/16,745.91 = 16,745.91/x
  3. Step 3: Cross multiply
    7,758.09x = 16,745.91 × 16,745.91
  4. Step 4: Simplify right side
    7,758.09x = 280,425,376.13
  5. Step 5: Solve for x
    x = 280,425,376.13/7,758.09
  6. Step 6: Final answer
    x = 36,146.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.