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Finding the Third Proportional to 18,344 and 29,324

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Solution

The third proportional to 18,344 and 29,324 is: 46,876.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,344 : 29,324 = 29,324 : x
  2. Step 2: Convert to fraction form
    18,344/29,324 = 29,324/x
  3. Step 3: Cross multiply
    18,344x = 29,324 × 29,324
  4. Step 4: Simplify right side
    18,344x = 859,896,976
  5. Step 5: Solve for x
    x = 859,896,976/18,344
  6. Step 6: Final answer
    x = 46,876.20

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.