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Finding the Third Proportional to 46,797 and 100,026

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Solution

The third proportional to 46,797 and 100,026 is: 213,800.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,797 : 100,026 = 100,026 : x
  2. Step 2: Convert to fraction form
    46,797/100,026 = 100,026/x
  3. Step 3: Cross multiply
    46,797x = 100,026 × 100,026
  4. Step 4: Simplify right side
    46,797x = 10,005,200,676
  5. Step 5: Solve for x
    x = 10,005,200,676/46,797
  6. Step 6: Final answer
    x = 213,800.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.