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Finding the Third Proportional to 31,309 and 46,977

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Solution

The third proportional to 31,309 and 46,977 is: 70,485.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,309 : 46,977 = 46,977 : x
  2. Step 2: Convert to fraction form
    31,309/46,977 = 46,977/x
  3. Step 3: Cross multiply
    31,309x = 46,977 × 46,977
  4. Step 4: Simplify right side
    31,309x = 2,206,838,529
  5. Step 5: Solve for x
    x = 2,206,838,529/31,309
  6. Step 6: Final answer
    x = 70,485.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.