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Finding the Third Proportional to 8,504.39 and 11,897.62

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Solution

The third proportional to 8,504.39 and 11,897.62 is: 16,644.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,504.39 : 11,897.62 = 11,897.62 : x
  2. Step 2: Convert to fraction form
    8,504.39/11,897.62 = 11,897.62/x
  3. Step 3: Cross multiply
    8,504.39x = 11,897.62 × 11,897.62
  4. Step 4: Simplify right side
    8,504.39x = 141,553,339.04
  5. Step 5: Solve for x
    x = 141,553,339.04/8,504.39
  6. Step 6: Final answer
    x = 16,644.73

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.