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Finding the Third Proportional to 17,324 and 40,873

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Solution

The third proportional to 17,324 and 40,873 is: 96,432.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,324 : 40,873 = 40,873 : x
  2. Step 2: Convert to fraction form
    17,324/40,873 = 40,873/x
  3. Step 3: Cross multiply
    17,324x = 40,873 × 40,873
  4. Step 4: Simplify right side
    17,324x = 1,670,602,129
  5. Step 5: Solve for x
    x = 1,670,602,129/17,324
  6. Step 6: Final answer
    x = 96,432.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.