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Finding the Third Proportional to 30,914 and 46,795

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Solution

The third proportional to 30,914 and 46,795 is: 70,834.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,914 : 46,795 = 46,795 : x
  2. Step 2: Convert to fraction form
    30,914/46,795 = 46,795/x
  3. Step 3: Cross multiply
    30,914x = 46,795 × 46,795
  4. Step 4: Simplify right side
    30,914x = 2,189,772,025
  5. Step 5: Solve for x
    x = 2,189,772,025/30,914
  6. Step 6: Final answer
    x = 70,834.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.