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Finding the Third Proportional to 24,340 and 35,934

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Solution

The third proportional to 24,340 and 35,934 is: 53,050.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,340 : 35,934 = 35,934 : x
  2. Step 2: Convert to fraction form
    24,340/35,934 = 35,934/x
  3. Step 3: Cross multiply
    24,340x = 35,934 × 35,934
  4. Step 4: Simplify right side
    24,340x = 1,291,252,356
  5. Step 5: Solve for x
    x = 1,291,252,356/24,340
  6. Step 6: Final answer
    x = 53,050.63

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.