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Finding the Third Proportional to 31,609 and 46,245

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Solution

The third proportional to 31,609 and 46,245 is: 67,657.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,609 : 46,245 = 46,245 : x
  2. Step 2: Convert to fraction form
    31,609/46,245 = 46,245/x
  3. Step 3: Cross multiply
    31,609x = 46,245 × 46,245
  4. Step 4: Simplify right side
    31,609x = 2,138,600,025
  5. Step 5: Solve for x
    x = 2,138,600,025/31,609
  6. Step 6: Final answer
    x = 67,657.95

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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.