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Finding the Third Proportional to 46,977 and 67,914

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Solution

The third proportional to 46,977 and 67,914 is: 98,182.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,977 : 67,914 = 67,914 : x
  2. Step 2: Convert to fraction form
    46,977/67,914 = 67,914/x
  3. Step 3: Cross multiply
    46,977x = 67,914 × 67,914
  4. Step 4: Simplify right side
    46,977x = 4,612,311,396
  5. Step 5: Solve for x
    x = 4,612,311,396/46,977
  6. Step 6: Final answer
    x = 98,182.33

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.