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Finding the Third Proportional to 11,216 and 22,918

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Solution

The third proportional to 11,216 and 22,918 is: 46,829.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,216 : 22,918 = 22,918 : x
  2. Step 2: Convert to fraction form
    11,216/22,918 = 22,918/x
  3. Step 3: Cross multiply
    11,216x = 22,918 × 22,918
  4. Step 4: Simplify right side
    11,216x = 525,234,724
  5. Step 5: Solve for x
    x = 525,234,724/11,216
  6. Step 6: Final answer
    x = 46,829.06

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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.