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Finding the Third Proportional to 40,796 and 62,722

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Solution

The third proportional to 40,796 and 62,722 is: 96,432.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,796 : 62,722 = 62,722 : x
  2. Step 2: Convert to fraction form
    40,796/62,722 = 62,722/x
  3. Step 3: Cross multiply
    40,796x = 62,722 × 62,722
  4. Step 4: Simplify right side
    40,796x = 3,934,049,284
  5. Step 5: Solve for x
    x = 3,934,049,284/40,796
  6. Step 6: Final answer
    x = 96,432.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.