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Finding the Third Proportional to 11,280 and 22,992

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Solution

The third proportional to 11,280 and 22,992 is: 46,864.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,280 : 22,992 = 22,992 : x
  2. Step 2: Convert to fraction form
    11,280/22,992 = 22,992/x
  3. Step 3: Cross multiply
    11,280x = 22,992 × 22,992
  4. Step 4: Simplify right side
    11,280x = 528,632,064
  5. Step 5: Solve for x
    x = 528,632,064/11,280
  6. Step 6: Final answer
    x = 46,864.54

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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.