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Finding the Third Proportional to 46,914 and 68,595

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Solution

The third proportional to 46,914 and 68,595 is: 100,295.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,914 : 68,595 = 68,595 : x
  2. Step 2: Convert to fraction form
    46,914/68,595 = 68,595/x
  3. Step 3: Cross multiply
    46,914x = 68,595 × 68,595
  4. Step 4: Simplify right side
    46,914x = 4,705,274,025
  5. Step 5: Solve for x
    x = 4,705,274,025/46,914
  6. Step 6: Final answer
    x = 100,295.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.