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Finding the Third Proportional to 24,824 and 34,092

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Solution

The third proportional to 24,824 and 34,092 is: 46,820.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,824 : 34,092 = 34,092 : x
  2. Step 2: Convert to fraction form
    24,824/34,092 = 34,092/x
  3. Step 3: Cross multiply
    24,824x = 34,092 × 34,092
  4. Step 4: Simplify right side
    24,824x = 1,162,264,464
  5. Step 5: Solve for x
    x = 1,162,264,464/24,824
  6. Step 6: Final answer
    x = 46,820.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.