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Finding the Third Proportional to 9,970 and 20,736

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Solution

The third proportional to 9,970 and 20,736 is: 43,127.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970 : 20,736 = 20,736 : x
  2. Step 2: Convert to fraction form
    9,970/20,736 = 20,736/x
  3. Step 3: Cross multiply
    9,970x = 20,736 × 20,736
  4. Step 4: Simplify right side
    9,970x = 429,981,696
  5. Step 5: Solve for x
    x = 429,981,696/9,970
  6. Step 6: Final answer
    x = 43,127.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.