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Finding the Third Proportional to 14,208.75 and 18,046.13

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Solution

The third proportional to 14,208.75 and 18,046.13 is: 22,919.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,208.75 : 18,046.13 = 18,046.13 : x
  2. Step 2: Convert to fraction form
    14,208.75/18,046.13 = 18,046.13/x
  3. Step 3: Cross multiply
    14,208.75x = 18,046.13 × 18,046.13
  4. Step 4: Simplify right side
    14,208.75x = 325,662,627.52
  5. Step 5: Solve for x
    x = 325,662,627.52/14,208.75
  6. Step 6: Final answer
    x = 22,919.86

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.