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Finding the Third Proportional to 8,623.97 and 13,758.61

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Solution

The third proportional to 8,623.97 and 13,758.61 is: 21,950.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,623.97 : 13,758.61 = 13,758.61 : x
  2. Step 2: Convert to fraction form
    8,623.97/13,758.61 = 13,758.61/x
  3. Step 3: Cross multiply
    8,623.97x = 13,758.61 × 13,758.61
  4. Step 4: Simplify right side
    8,623.97x = 189,299,331.93
  5. Step 5: Solve for x
    x = 189,299,331.93/8,623.97
  6. Step 6: Final answer
    x = 21,950.37

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.