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Finding the Third Proportional to 23,416 and 51,367

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Solution

The third proportional to 23,416 and 51,367 is: 112,682.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,416 : 51,367 = 51,367 : x
  2. Step 2: Convert to fraction form
    23,416/51,367 = 51,367/x
  3. Step 3: Cross multiply
    23,416x = 51,367 × 51,367
  4. Step 4: Simplify right side
    23,416x = 2,638,568,689
  5. Step 5: Solve for x
    x = 2,638,568,689/23,416
  6. Step 6: Final answer
    x = 112,682.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.