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Finding the Third Proportional to 9,021.38 and 20,736

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Solution

The third proportional to 9,021.38 and 20,736 is: 47,662.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,021.38 : 20,736 = 20,736 : x
  2. Step 2: Convert to fraction form
    9,021.38/20,736 = 20,736/x
  3. Step 3: Cross multiply
    9,021.38x = 20,736 × 20,736
  4. Step 4: Simplify right side
    9,021.38x = 429,981,696
  5. Step 5: Solve for x
    x = 429,981,696/9,021.38
  6. Step 6: Final answer
    x = 47,662.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.