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Finding the Third Proportional to 31,277 and 46,909

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Solution

The third proportional to 31,277 and 46,909 is: 70,353.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,277 : 46,909 = 46,909 : x
  2. Step 2: Convert to fraction form
    31,277/46,909 = 46,909/x
  3. Step 3: Cross multiply
    31,277x = 46,909 × 46,909
  4. Step 4: Simplify right side
    31,277x = 2,200,454,281
  5. Step 5: Solve for x
    x = 2,200,454,281/31,277
  6. Step 6: Final answer
    x = 70,353.75

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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.