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Finding the Third Proportional to 17,529.75 and 20,283.75

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Solution

The third proportional to 17,529.75 and 20,283.75 is: 23,470.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,529.75 : 20,283.75 = 20,283.75 : x
  2. Step 2: Convert to fraction form
    17,529.75/20,283.75 = 20,283.75/x
  3. Step 3: Cross multiply
    17,529.75x = 20,283.75 × 20,283.75
  4. Step 4: Simplify right side
    17,529.75x = 411,430,514.06
  5. Step 5: Solve for x
    x = 411,430,514.06/17,529.75
  6. Step 6: Final answer
    x = 23,470.42

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.