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Finding the Third Proportional to 11,072 and 22,630

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Solution

The third proportional to 11,072 and 22,630 is: 46,253.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,072 : 22,630 = 22,630 : x
  2. Step 2: Convert to fraction form
    11,072/22,630 = 22,630/x
  3. Step 3: Cross multiply
    11,072x = 22,630 × 22,630
  4. Step 4: Simplify right side
    11,072x = 512,116,900
  5. Step 5: Solve for x
    x = 512,116,900/11,072
  6. Step 6: Final answer
    x = 46,253.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.