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Finding the Third Proportional to 19,323 and 40,722

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Solution

The third proportional to 19,323 and 40,722 is: 85,819.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,323 : 40,722 = 40,722 : x
  2. Step 2: Convert to fraction form
    19,323/40,722 = 40,722/x
  3. Step 3: Cross multiply
    19,323x = 40,722 × 40,722
  4. Step 4: Simplify right side
    19,323x = 1,658,281,284
  5. Step 5: Solve for x
    x = 1,658,281,284/19,323
  6. Step 6: Final answer
    x = 85,819.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.