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Finding the Third Proportional to 12,084.03 and 16,235.91

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Solution

The third proportional to 12,084.03 and 16,235.91 is: 21,814.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084.03 : 16,235.91 = 16,235.91 : x
  2. Step 2: Convert to fraction form
    12,084.03/16,235.91 = 16,235.91/x
  3. Step 3: Cross multiply
    12,084.03x = 16,235.91 × 16,235.91
  4. Step 4: Simplify right side
    12,084.03x = 263,604,842.02
  5. Step 5: Solve for x
    x = 263,604,842.02/12,084.03
  6. Step 6: Final answer
    x = 21,814.32

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.