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Finding the Third Proportional to 24,404 and 32,838

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Solution

The third proportional to 24,404 and 32,838 is: 44,186.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,404 : 32,838 = 32,838 : x
  2. Step 2: Convert to fraction form
    24,404/32,838 = 32,838/x
  3. Step 3: Cross multiply
    24,404x = 32,838 × 32,838
  4. Step 4: Simplify right side
    24,404x = 1,078,334,244
  5. Step 5: Solve for x
    x = 1,078,334,244/24,404
  6. Step 6: Final answer
    x = 44,186.78

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.