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Finding the Third Proportional to 16,725.00 and 23,780.42

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Solution

The third proportional to 16,725.00 and 23,780.42 is: 33,812.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,725.00 : 23,780.42 = 23,780.42 : x
  2. Step 2: Convert to fraction form
    16,725.00/23,780.42 = 23,780.42/x
  3. Step 3: Cross multiply
    16,725.00x = 23,780.42 × 23,780.42
  4. Step 4: Simplify right side
    16,725.00x = 565,508,441.33
  5. Step 5: Solve for x
    x = 565,508,441.33/16,725.00
  6. Step 6: Final answer
    x = 33,812.17

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.