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Finding the Third Proportional to 23,416 and 43,508

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Solution

The third proportional to 23,416 and 43,508 is: 80,839.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,416 : 43,508 = 43,508 : x
  2. Step 2: Convert to fraction form
    23,416/43,508 = 43,508/x
  3. Step 3: Cross multiply
    23,416x = 43,508 × 43,508
  4. Step 4: Simplify right side
    23,416x = 1,892,946,064
  5. Step 5: Solve for x
    x = 1,892,946,064/23,416
  6. Step 6: Final answer
    x = 80,839.86

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.