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Finding the Third Proportional to 24,508 and 35,380

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Solution

The third proportional to 24,508 and 35,380 is: 51,074.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,508 : 35,380 = 35,380 : x
  2. Step 2: Convert to fraction form
    24,508/35,380 = 35,380/x
  3. Step 3: Cross multiply
    24,508x = 35,380 × 35,380
  4. Step 4: Simplify right side
    24,508x = 1,251,744,400
  5. Step 5: Solve for x
    x = 1,251,744,400/24,508
  6. Step 6: Final answer
    x = 51,074.93

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.