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Finding the Third Proportional to 13,665.75 and 20,007.75

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Solution

The third proportional to 13,665.75 and 20,007.75 is: 29,292.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,665.75 : 20,007.75 = 20,007.75 : x
  2. Step 2: Convert to fraction form
    13,665.75/20,007.75 = 20,007.75/x
  3. Step 3: Cross multiply
    13,665.75x = 20,007.75 × 20,007.75
  4. Step 4: Simplify right side
    13,665.75x = 400,310,060.06
  5. Step 5: Solve for x
    x = 400,310,060.06/13,665.75
  6. Step 6: Final answer
    x = 29,292.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.