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Finding the Third Proportional to 16,189.88 and 22,766.06

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Solution

The third proportional to 16,189.88 and 22,766.06 is: 32,013.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,189.88 : 22,766.06 = 22,766.06 : x
  2. Step 2: Convert to fraction form
    16,189.88/22,766.06 = 22,766.06/x
  3. Step 3: Cross multiply
    16,189.88x = 22,766.06 × 22,766.06
  4. Step 4: Simplify right side
    16,189.88x = 518,293,601.75
  5. Step 5: Solve for x
    x = 518,293,601.75/16,189.88
  6. Step 6: Final answer
    x = 32,013.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.