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Finding the Third Proportional to 11,702 and 22,324

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Solution

The third proportional to 11,702 and 22,324 is: 42,587.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702 : 22,324 = 22,324 : x
  2. Step 2: Convert to fraction form
    11,702/22,324 = 22,324/x
  3. Step 3: Cross multiply
    11,702x = 22,324 × 22,324
  4. Step 4: Simplify right side
    11,702x = 498,360,976
  5. Step 5: Solve for x
    x = 498,360,976/11,702
  6. Step 6: Final answer
    x = 42,587.68

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.